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Wyświetlanie 1-10 z 26
Tytuł:
Interpolation by elementary operators
Autorzy:
Magajna, Bojan
Powiązania:
https://bibliotekanauki.pl/articles/1292787.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
elementary operators
C*-algebras
multipliers
Opis:
Given two n-tuples $a = (a_1,...,a_n)$ and $b = (b_1,...,b_n)$ of bounded linear operators on a Hilbert space the question of when there exists an elementary operator E such that $Ea_j = b_j$ for all j =1,...,n, is studied. The analogous question for left multiplications (instead of elementary operators) is answered in any C*-algebra A, as a consequence of the characterization of closed left A-submodules in $A^n$.
Źródło:
Studia Mathematica; 1993, 105, 1; 77-92
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hankel multipliers and transplantation operators
Autorzy:
Stempak, Krzysztof
Trebels, Walter
Powiązania:
https://bibliotekanauki.pl/articles/1219072.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hankel transform and multipliers
transplantation
Opis:
Connections between Hankel transforms of different order for $L^p$-functions are examined. Well known are the results of Guy [Guy] and Schindler [Sch]. Further relations result from projection formulae for Bessel functions of different order. Consequences for Hankel multipliers are exhibited and implications for radial Fourier multipliers on Euclidean spaces of different dimensions indicated.
Źródło:
Studia Mathematica; 1997, 126, 1; 51-66
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Weak type (1,1) multipliers on LCA groups
Autorzy:
Raposo, José A
Powiązania:
https://bibliotekanauki.pl/articles/1220262.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
weak type multipliers
maximal operators
vector inequalities
Opis:
In [ABB] Asmar, Berkson and Bourgain prove that for a sequence ${ϕ_j}^∞_{j=1} $ of weak type (1, 1) multipliers in $ℝ^n$ and a function $k ∈ L^1(ℝ^n)$ the weak type (1,1) constant of the maximal operator associated with ${k⁎ϕ_j}_j$ is controlled by that of the maximal operator associated with ${ϕ_j}_j$. In [ABG] this theorem is extended to LCA groups with an extra hypothesis: the multipliers must be continuous. In this paper we prove a more general version of this last result without assuming the continuity of the multipliers. The proof arises after simplifying the one in [ABB] which becomes then extensible to LCA groups.
Źródło:
Studia Mathematica; 1997, 122, 2; 123-130
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Optimum-efficiency Beam Multiplier for an Arbitrary Number of Output Beams and Power Distribution
Autorzy:
Frezza, F.
Marciniak, M.
Pajewski, L.
Powiązania:
https://bibliotekanauki.pl/articles/308318.pdf
Data publikacji:
2017
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
beam multipliers
diffractive optical elements
grating
periodic structures
Opis:
This paper deals with phase gratings working in the paraxial domain. The profile of the optimum-efficiency beam multiplier with an arbitrary number of output diffraction orders is derived in an analytic form by exploiting methods from the calculus of variation. The output beams may be equi-intense or with arbitrary distribution of power. Numerical examples are given for different values of the number of output beams.
Źródło:
Journal of Telecommunications and Information Technology; 2017, 3; 94-98
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multipliers of Hardy spaces, quadratic integrals and Foiaş-Williams-Peller operators
Autorzy:
Blower, G.
Powiązania:
https://bibliotekanauki.pl/articles/1217911.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
polynomially bounded operators
Hankel operators
multipliers
Carleson measures
Opis:
We obtain a sufficient condition on a B(H)-valued function φ for the operator $⨍ ↦ Γ_φ ⨍'(S)$ to be completely bounded on $H^∞ B(H)$; the Foiaş-Williams-Peller operator | S^t Γ_φ | R_φ = | | | 0 S | is then similar to a contraction. We show that if ⨍ : D → B(H) is a bounded analytic function for which $(1-r) ||⨍'(re^{iθ})||^2_{B(H)} rdrdθ$ and $(1-r) ||⨍"(re^{iθ})||_{B(H)} rdrdθ$ are Carleson measures, then ⨍ multiplies $(H^1c^1)'$ to itself. Such ⨍ form an algebra A, and when φ'∈ BMO(B(H)), the map $⨍ ↦ Γ_φ ⨍'(S)$ is bounded $A → B(H^2(H), L^2(H) ⊖ H^2(H))$. Thus we construct a functional calculus for operators of Foiaş-Williams-Peller type.
Źródło:
Studia Mathematica; 1998, 131, 2; 179-188
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multipliers in Sobolev spaces and exact convergence rate estimates for the finite-difference schemes
Autorzy:
Jovanović, Boško
Powiązania:
https://bibliotekanauki.pl/articles/1361062.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
finite differences
multipliers
boundary-value problems
Sobolev spaces
Opis:
In this paper we present some recent results concerning convergence rate estimates for finite-difference schemes approximating boundary-value problems. Special attention is given to the problem of minimal smoothness of coefficients in partial differential equations necessary for obtaining the results.
Źródło:
Banach Center Publications; 1994, 29, 1; 165-173
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LONG-TERM MACROECONOMETRIC MODEL FOR THE POLISH ECONOMY
Autorzy:
Welfe, Władysław
Powiązania:
https://bibliotekanauki.pl/articles/453963.pdf
Data publikacji:
2009
Wydawca:
Szkoła Główna Gospodarstwa Wiejskiego w Warszawie. Katedra Ekonometrii i Statystyki
Tematy:
Knowledge Capital
R&D
Human Capital
Macromodelling
Multipliers
Scenarios
Opis:
Development of market economies towards economies based on knowledge implies the construction of new long-term macroeconometric models. The structure and use of the long-term W8D model for Poland was shown. This is a complete model that explains production and the factors its growth including R&D and human capital and also final demand allowing for studies of potential disequilibria. It is closed by equations explaining prices, wages and financial flows. The simulation version is includes 235 equations, of which 111 are stochastic. It is used in long-term growth scenarios up to the year 2030.
Źródło:
Metody Ilościowe w Badaniach Ekonomicznych; 2009, 10, 1; 5-19
2082-792X
Pojawia się w:
Metody Ilościowe w Badaniach Ekonomicznych
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilité du spectre ponctuel dopérateurs de Toeplitz généralisés
Autorzy:
Nikolskaia, Lioudmila
Powiązania:
https://bibliotekanauki.pl/articles/1288866.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Toeplitz and Wiener-Hopf operators
multipliers
quasi-continuous functions
Opis:
A general scheme based on a commutation relation is proposed to give rise to a definition of generalized Toeplitz operators on a Banach space. Under suitable conditions the existence of a symbol is proved and its continuation to algebras generated by generalized Toeplitz operators is constructed. A stability theorem for the point spectrum of an operator from generalized Toeplitz algebras is established; as examples one considers the standard and operator valued Toeplitz operators on weighted Hardy spaces and on spaces of functions (distributions) with weighted $l^p$ Fourier transforms.
Źródło:
Studia Mathematica; 1995, 116, 1; 1-22
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Operators on spaces of analytic functions
Autorzy:
Seddighi, K.
Powiązania:
https://bibliotekanauki.pl/articles/1291434.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
spaces of analytic functions
polynomially bounded
multipliers
spectral properties
cyclic subspace
Opis:
Let $M_z$ be the operator of multiplication by z on a Banach space of functions analytic on a plane domain G. We say that $M_z$ is polynomially bounded if $∥M_p∥ ≤ C∥p∥_G$ for every polynomial p. We give necessary and sufficient conditions for $M_z$ to be polynomially bounded. We also characterize the finite-codimensional invariant subspaces and derive some spectral properties of the multiplication operator in case the underlying space is Hilbert.
Źródło:
Studia Mathematica; 1994, 108, 1; 49-54
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimization of consumer preferences – an example
Autorzy:
Fura, Barbara
Fura, Marek
Powiązania:
https://bibliotekanauki.pl/articles/421268.pdf
Data publikacji:
2015
Wydawca:
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:
consumer preferences
theory of consumer choice
Gossen’s laws
Lagrange multipliers
Opis:
In the article we discuss a standard example of an optimization problem. In our problem we are optimizing the objective function, i.e. a consumer utility function with two variables representing quantities of two commodities denoted by x1 and x2. We consider the standard optimization problem in which we maximize the defined utility function subject to a budget constraint. More precisely, the problem is to choose quantities of two commodities 1st and 2nd, in order to maximize u(x1, x2) function subject to the budget constraint. The aim of the article is to present how we can exemplify and solve this kind of problems in a classroom. In the paper we suggest four methods of finding the solution. The first one is based on the graphical interpretation of the problem. Based on this we can get the approximate solution of the defined optimization problem. Then, we present an algebraic approach to find the optimum solution of the given problem. In the first method we use the budget constraint to transform the utility function of two variables into the function of one variable. The second algebraic method of achieving the solution is based on the second Goosen’s law, which is known as the law of marginal utility theory. In the third algebraic method applied to find the maximum of the utility function, we use the Lagrange multipliers. The text emphasizes the educational aspect of the theory of consumer choice.
Źródło:
Didactics of Mathematics; 2015, 12(16); 61-68
1733-7941
Pojawia się w:
Didactics of Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-10 z 26

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