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Wyświetlanie 1-25 z 1211
Tytuł:
Measures and lacunary sets
Autorzy:
Lefèvre, Pascal
Powiązania:
https://bibliotekanauki.pl/articles/1216990.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
stationary sets
p-Sidon sets
sets of continuity
Λ(1) sets
Riesz sets
random Fourier series
(p,q)-summing operators
Opis:
We establish new connections between some classes of lacunary sets. The main tool is the use of (p,q)-summing or weakly compact operators (for Riesz sets). This point of view provides new properties of stationary sets and allows us to generalize to more general abelian groups than the torus some properties of p-Sidon sets. We also construct some new classes of Riesz sets.
Źródło:
Studia Mathematica; 1999, 133, 2; 145-161
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On some properties of the class of stationary sets
Autorzy:
Lefevre, Pascal
Powiązania:
https://bibliotekanauki.pl/articles/966024.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Rajchman sets
sets of continuity
stationary sets
UC sets
random Fourier series
Sidon sets
Riesz products
Opis:
Some new properties of the stationary sets (defined by G. Pisier in [12]) are studied. Some arithmetical conditions are given, leading to the non-stationarity of the prime numbers. It is shown that any stationary set is a set of continuity. Some examples of "large" stationary sets are given, which are not sets of uniform convergence.
Źródło:
Colloquium Mathematicum; 1998, 76, 1; 1-18
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Additive properties and uniformly completely Ramsey sets
Autorzy:
Nowik, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/965985.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
QN sets
uniformly completely Ramsey sets
Ramsey null sets
Opis:
We prove some properties of uniformly completely Ramsey null sets (for example, every hereditarily Menger set is uniformly completely Ramsey null).
Źródło:
Colloquium Mathematicum; 1999, 82, 2; 191-199
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sidon sets and $I^0$-sets
Autorzy:
Grow, David
Powiązania:
https://bibliotekanauki.pl/articles/727761.pdf
Data publikacji:
1987
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Colloquium Mathematicum; 1987, 53, 2; 269-270
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sidon sets and Riesz sets for some measure algebras on the disk
Autorzy:
Gebuhrer, Olivier
Schwartz, Alan
Powiązania:
https://bibliotekanauki.pl/articles/966664.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
disk polynomials
bivariate polynomials
Riesz sets
hypergroups
Sidon sets
Opis:
Sidon sets for the disk polynomial measure algebra (the continuous disk polynomial hypergroup) are described completely in terms of classical Sidon sets for the circle; an analogue of the F. and M. Riesz theorem is also proved.
Źródło:
Colloquium Mathematicum; 1997, 72, 2; 269-279
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Relative Sets and Rough Sets
Autorzy:
Mousavi, A.
Jabedar-Maralani, P.
Powiązania:
https://bibliotekanauki.pl/articles/908368.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
teoria mnogości
analiza danych
przedstawienie wiedzy
rough sets
set theory
data analysis
multi-valued logic
interval sets
knowledge representation
Opis:
In this paper, by defining a pair of classical sets as a relative set, an extension of the classical set algebra which is a counterpart of Belnap's four-valued logic is achieved. Every relative set partitions all objects into four distinct regions corresponding to four truth-values of Belnap's logic. Like truth-values of Belnap's logic, relative sets have two orderings; one is an order of inclusion and the other is an order of knowledge or information. By defining a rough set as a pair of definable sets, an integrated approach to relative sets and rough sets is obtained. With this definition, we are able to define an approximation of a rough set in an approximation space, and so we can obtain sequential approximations of a set, which is a good model of communication among agents.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 3; 637-653
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Finite union of H-sets and countable compact sets
Autorzy:
Kahane, Sylvain
Powiązania:
https://bibliotekanauki.pl/articles/967312.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:
In [2], D. E. Grow and M. Insall construct a countable compact set which is not the union of two H-sets. We make precise this result in two directions, proving such a set may be, but need not be, a finite union of H-sets. Descriptive set theory tools like Cantor-Bendixson ranks are used; they are developed in the book of A. S. Kechris and A. Louveau [6]. Two proofs are presented; the first one is elementary while the second one is more general and useful. Using the last one I prove in my thesis, directed by A. Louveau, the existence of a countable compact set which is not a finite union of Dirichlet sets. This result, quoted in [3], is weaker because all Dirichlet sets belong to H. Other new results about the class H and similar classes of thin sets can be found in [4], [1] and [5].
Źródło:
Colloquium Mathematicum; 1993, 65, 1; 83-86
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Knowledge, Vagueness and Logic
Autorzy:
Wybraniec-Skardowska, U.
Powiązania:
https://bibliotekanauki.pl/articles/908372.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
zbiór rozmyty
logika formalna
vague knowledge
fuzzy sets
rough sets
vague sets
formal logic
Opis:
The aim of the paper is to outline an idea of solving the problem of the vagueness of concepts. The starting point is a definition of the concept of vague knowledge. One of the primary goals is a formal justification of the classical viewpoint on the controversy about the truth and object reference of expressions including vague terms. It is proved that grasping the vagueness in the language aspect is possible through the extension of classical logic to the logic of sentences which may contain vague terms. The theoretical framework of the conception refers to the theory of Pawlak's rough sets and is connected with Zadeh's fuzzy set theory as well as bag (or multiset) theory. In the considerations formal logic means and the concept system of set theory have been used. The paper can be regarded as an outline of the logical theory of vague concepts.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 3; 719-737
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Omnipresent holomorphic operators and maximal cluster sets
Autorzy:
González, Luis
Powiązania:
https://bibliotekanauki.pl/articles/967650.pdf
Data publikacji:
1992
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
holomorphic operators
maximal cluster sets
boundary behavior
residual sets
derivatives and antiderivatives
Źródło:
Colloquium Mathematicum; 1992, 63, 2; 315-322
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Random weighted Sidon sets
Autorzy:
Hare, Kathryn
Powiązania:
https://bibliotekanauki.pl/articles/965697.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
compact non-abelian groups
Sidon sets
Opis:
We investigate random Sidon-type sets in which the degrees of the representations are weighted. These variants of Sidon sets are of interest as there are compact non-abelian groups which admit no infinite Sidon sets. In this note we determine the largest weight function such that infinite random weighted Sidon sets exist in all infinite compact groups.
Źródło:
Colloquium Mathematicum; 2000, 86, 1; 103-109
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On vector-valued inequalities for Sidon sets and sets of interpolation
Autorzy:
Kalton, N.
Powiązania:
https://bibliotekanauki.pl/articles/967521.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:
Let E be a Sidon subset of the integers and suppose X is a Banach space. Then Pisier has shown that E-spectral polynomials with values in X behave like Rademacher sums with respect to $L_p$-norms. We consider the situation when X is a quasi-Banach space. For general quasi-Banach spaces we show that a similar result holds if and only if E is a set of interpolation ($I_0$-set). However, for certain special classes of quasi-Banach spaces we are able to prove such a result for larger sets. Thus if X is restricted to be "natural" then the result holds for all Sidon sets. We also consider spaces with plurisubharmonic norms and introduce the class of analytic Sidon sets.
Źródło:
Colloquium Mathematicum; 1993, 64, 2; 233-244
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convex universal fixers
Autorzy:
Lemańska, Magdalena
Zuazua, Rita
Powiązania:
https://bibliotekanauki.pl/articles/743272.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
convex sets
dominating sets
universal fixers
Opis:
In [1] Burger and Mynhardt introduced the idea of universal fixers. Let G = (V, E) be a graph with n vertices and G' a copy of G. For a bijective function π: V(G) → V(G'), define the prism πG of G as follows: V(πG) = V(G) ∪ V(G') and $E(πG) = E(G) ∪ E(G') ∪ M_{π}$, where $M_{π} = {u π(u) | u ∈ V(G)}$. Let γ(G) be the domination number of G. If γ(πG) = γ(G) for any bijective function π, then G is called a universal fixer. In [9] it is conjectured that the only universal fixers are the edgeless graphs K̅ₙ. In this work we generalize the concept of universal fixers to the convex universal fixers. In the second section we give a characterization for convex universal fixers (Theorem 6) and finally, we give an in infinite family of convex universal fixers for an arbitrary natural number n ≥ 10.
Źródło:
Discussiones Mathematicae Graph Theory; 2012, 32, 4; 807-812
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytic cell decomposition of sets definable in the structure $ℝ_{exp}$
Autorzy:
Loi, Ta
Powiązania:
https://bibliotekanauki.pl/articles/1311687.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
-sets
Opis:
We prove that every set definable in the structure $ℝ_{exp}$ can be decomposed into finitely many connected analytic manifolds each of which is also definable in this structure.
Źródło:
Annales Polonici Mathematici; 1994, 59, 3; 255-266
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On open maps of Borel sets
Autorzy:
Ostrovsky, A.
Powiązania:
https://bibliotekanauki.pl/articles/1208391.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
open maps
Borel sets
analytic sets
space of the first category
space of the second category
Baire space
Opis:
We answer in the affirmative [Th. 3 or Corollary 1] the question of L. V. Keldysh [5, p. 648]: can every Borel set X lying in the space of irrational numbers ℙ not $G_δ · F_σ$ and of the second category in itself be mapped onto an arbitrary analytic set Y ⊂ ℙ of the second category in itself by an open map? Note that under a space of the second category in itself Keldysh understood a Baire space. The answer to the question as stated is negative if X is Baire but Y is not Baire.
Źródło:
Fundamenta Mathematicae; 1994-1995, 146, 3; 203-213
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Evolution equations in ostensible metric spaces: First-order evolutions of nonsmooth sets with nonlocal terms
Autorzy:
Lorenz, Thomas
Powiązania:
https://bibliotekanauki.pl/articles/729470.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
mutational equations
quasidifferential equations
funnel equations
nonlocal geometric evolutions
reachable sets of differential inclusions
sets of positive erosion
sets of positive reach
Opis:
Similarly to quasidifferential equations of Panasyuk, the so-called mutational equations of Aubin provide a generalization of ordinary differential equations to locally compact metric spaces. Here we present their extension to a nonempty set with a possibly nonsymmetric distance. In spite of lacking any linear structures, a distribution-like approach leads to so-called right-hand forward solutions.
These extensions are mainly motivated by compact subsets of the Euclidean space whose evolution is determined by the nonlocal properties of both the current set and the normal cones at its topological boundary. Indeed, simple deformations such as isotropic expansions exemplify that topological boundaries do not have to evolve continuously in time and thus Aubin's original concept cannot be applied directly. Here neither regularity assumptions about the boundaries nor the inclusion principle are required. The regularity of compact reachable sets of differential inclusions is studied extensively instead.
This example of nonlocal set evolutions in the Euclidean space serves as an introductory motivation for extending ordinary differential equations (and evolution equations) beyond the traditional border of vector spaces - and for combining it with other examples in systems.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2008, 28, 1; 15-73
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-25 z 1211

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