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Wyszukujesz frazę "operator" wg kryterium: Temat


Tytuł:
Asymptotic behaviour of the iterates of nonnegative operators on a Banach lattice
Autorzy:
Socała, Jolanta
Powiązania:
https://bibliotekanauki.pl/articles/1294507.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
nonnegative operator
exponentially stationary operator
integral operator
lower function
Opis:
Asymptotic convergence theorems for nonnegative operators on Banach lattices, on $L^{∞}$, on C(X) and on $L^p(1 ≤ p < ∞)$ are proved. The general results are applied to a class of integral operators on L¹.
Źródło:
Annales Polonici Mathematici; 1998, 68, 1; 1-16
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Norm estimates of discrete Schrödinger operators
Autorzy:
Szwarc, Ryszard
Powiązania:
https://bibliotekanauki.pl/articles/966035.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
norm estimate
Harper's operator
difference operator
Opis:
Harper's operator is defined on $\ell^2({\sym Z})$ by $$ H_\theta \xi(n) = \xi(n+1) + \xi(n-1) + 2\cos n\theta\, \xi(n), $$ where $\theta\! \in \![0,\pi]$. We show that the norm of $\|H_\theta\|$ is less than or equal to $2\sqrt{2}$ for $\pi/2 \le\theta\le \pi$. This solves a conjecture stated in [1]. A general formula for estimating the norm of self-adjoint tridiagonal infinite matrices is also derived.
Źródło:
Colloquium Mathematicum; 1998, 76, 1; 153-160
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convex and monotone operator functions
Autorzy:
Aujla, Jaspal
Vasudeva, H.
Powiązania:
https://bibliotekanauki.pl/articles/1311464.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
operator monotone function
operator convex function
Opis:
The purpose of this note is to provide characterizations of operator convexity and give an alternative proof of a two-dimensional analogue of a theorem of Löwner concerning operator monotonicity.
Źródło:
Annales Polonici Mathematici; 1995, 62, 1; 1-11
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On inessential and improjective operators.
Autorzy:
Aiena, Pietro
González, Manuel
Powiązania:
https://bibliotekanauki.pl/articles/1217805.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
inessential operator
improjective operator
Fredholm theory
Opis:
We give several characterizations of the improjective operators, introduced by Tarafdar, and we characterize the inessential operators among the improjective operators. It is an interesting problem whether both classes of operators coincide in general. A positive answer would provide, for example, an intrinsic characterization of the inessential operators. We give several equivalent formulations of this problem and we show that the inessential operators acting between certain pairs of Banach spaces coincide with the improjective operators.
Źródło:
Studia Mathematica; 1998, 131, 3; 271-287
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Quasilinear vector differential equations with maximal monotone terms and nonlinear boundary conditions
Autorzy:
Bader, Ralf
Papageorgiou, Nikolaos
Powiązania:
https://bibliotekanauki.pl/articles/1208032.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Dirichlet
maximal monotone operator
Yosida approximation
monotone operator
resolvent operator
measurable selection
demicontinuous operator
Neumann and periodic problems
coercive operator
projection theorem
Opis:
We consider a quasilinear vector differential equation which involves the p-Laplacian and a maximal monotone map. The boundary conditions are nonlinear and are determined by a generally multivalued, maximal monotone map. We prove two existence theorems. The first assumes that the maximal monotone map involved is everywhere defined and in the second we drop this requirement at the expense of strengthening the growth hypothesis on the vector field. The proofs are based on the theory of operators of monotone type and on the Leray-Schauder fixed point theorem. At the end we present some special cases (including the classical Dirichlet, Neumann and periodic problems), which illustrate the general and unifying features of our work.
Źródło:
Annales Polonici Mathematici; 2000, 73, 1; 69-92
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A quasi-affine transform of an unbounded operator
Autorzy:
Ôta, Schôichi
Powiązania:
https://bibliotekanauki.pl/articles/1289890.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
quasi-affine transform
subnormal operator
formally hyponormal operator
Opis:
Some results on quasi-affinity for bounded operators are extended to unbounded ones and normal extensions of an unbounded operator are discussed in connection with quasi-affinity.
Źródło:
Studia Mathematica; 1994-1995, 112, 3; 279-284
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mapping properties of integral averaging operators
Autorzy:
P. Heinig, H.
Sinnamon, G.
Powiązania:
https://bibliotekanauki.pl/articles/1218467.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
integral averaging operator
weight characterizations
Hardy inequalities
Steklov operator
differences
Opis:
Characterizations are obtained for those pairs of weight functions u and v for which the operators $Tf(x) = ʃ_{a(x)}^{b(x)} f(t)dt$ with a and b certain non-negative functions are bounded from $L^p_u(0,∞)$ to $L^q_v(0,∞)$, 0 < p,q < ∞, p≥ 1. Sufficient conditions are given for T to be bounded on the cones of monotone functions. The results are applied to give a weighted inequality comparing differences and derivatives as well as a weight characterization for the Steklov operator.
Źródło:
Studia Mathematica; 1998, 129, 2; 157-177
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic properties of Markov operators defined by Volterra type integrals
Autorzy:
Baron, Karol
Lasota, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/1311837.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Markov operator
integral Markov operator
stationary density
asymptotic stability
sweeping
Opis:
New sufficient conditions for asymptotic stability of Markov operators are given. These criteria are applied to a class of Volterra type integral operators with advanced argument.
Źródło:
Annales Polonici Mathematici; 1993, 58, 2; 161-175
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Refined rates of bias convergence for generalized L-Statistics in the i.i.d. case
Autorzy:
Anastassiou, George
Rychlik, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/1338689.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Bernstein operator
modulus of smoothness
generalized L-statistic
Kantorovich operator
bias
positive linear operator
random weighting
Bernstein-Durrmeyer operator
K-functional
rate of convergence
Opis:
Using tools of approximation theory, we evaluate rates of bias convergence for sequences of generalized L-statistics based on i.i.d. samples under mild smoothness conditions on the weight function and simple moment conditions on the score function. Apart from standard methods of weighting, we introduce and analyze L-statistics with possibly random coefficients defined by means of positive linear functionals acting on the weight function.
Źródło:
Applicationes Mathematicae; 1999, 26, 4; 437-455
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Closed operators affiliated with a Banach algebra of operators
Autorzy:
Barnes, Bruce A.
Powiązania:
https://bibliotekanauki.pl/articles/1293309.pdf
Data publikacji:
1992
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
closed operator
spectrum
Fredholm operator
semigroup of operators
Banach algebra
Opis:
Let ℬ be a Banach algebra of bounded linear operators on a Banach space X. If S is a closed operator in X such that (λ - S)^{-1} ∈ ℬ for some number λ, then S is affiliated with ℬ. The object of this paper is to study the spectral theory and Fredholm theory relative to ℬ of an operator which is affiliated with ℬ. Also, applications are given to semigroups of operators which are contained in ℬ.
Źródło:
Studia Mathematica; 1991-1992, 101, 3; 215-240
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Translation-invariant operators on Lorentz spaces L(1,q) with 0 < q < 1
Autorzy:
Colzani, Leonardo
Sjögren, Peter
Powiązania:
https://bibliotekanauki.pl/articles/1217313.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Lorentz space
convolution operator
Opis:
We study convolution operators bounded on the non-normable Lorentz spaces $L^{1,q}$ of the real line and the torus. Here 0 < q < 1. On the real line, such an operator is given by convolution with a discrete measure, but on the torus a convolutor can also be an integrable function. We then give some necessary and some sufficient conditions for a measure or a function to be a convolutor on $L^{1,q}$. In particular, when the positions of the atoms of a discrete measure are linearly independent over the rationals, we give a necessary and sufficient condition. This condition is, however, only sufficient in the general case.
Źródło:
Studia Mathematica; 1999, 132, 2; 101-124
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Compactness of Hardy-type integral operators in weighted Banach function spaces
Autorzy:
E. Edmunds, David
Gurka, Petr
Pick, Luboš
Powiązania:
https://bibliotekanauki.pl/articles/1290637.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
weighted Banach function space
Hardy-type operator
compact operator
Lorentz space
Opis:
We consider a generalized Hardy operator $Tf(x) = ϕ(x) ʃ_{0}^{x} ψfv$. For T to be bounded from a weighted Banach function space (X,v) into another, (Y,w), it is always necessary that the Muckenhoupt-type condition $ℬ = sup_{R>0} ∥ϕχ_{(R,∞)}∥_{Y}∥ψχ_{(0,R)}∥_{X'} < ∞$ be satisfied. We say that (X,Y) belongs to the category M(T) if this Muckenhoupt condition is also sufficient. We prove a general criterion for compactness of T from X to Y when (X,Y) ∈ M(T) and give an estimate for the distance of T from the finite rank operators. We apply the results to Lorentz spaces and characterize pairs of Lorentz spaces which fall into M (T).
Źródło:
Studia Mathematica; 1994, 109, 1; 73-90
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Most random walks on nilpotent groups are mixing
Autorzy:
Rębowski, R.
Powiązania:
https://bibliotekanauki.pl/articles/1311975.pdf
Data publikacji:
1992
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
stochastic operator
convolution operator
random walk
norm completely mixing
nilpotent group
Opis:
Let G be a second countable locally compact nilpotent group. It is shown that for every norm completely mixing (n.c.m.) random walk μ, αμ + (1-α)ν is n.c.m. for 0 < α ≤ 1, ν ∈ P(G). In particular, a generic stochastic convolution operator on G is n.c.m.
Źródło:
Annales Polonici Mathematici; 1992, 57, 3; 265-268
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Boundedness properties of resolvents and semigroups of operators
Autorzy:
van Casteren, J.
Powiązania:
https://bibliotekanauki.pl/articles/1358667.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
operator Poisson kernel
bounded semigroup
power bounded operator
square bounded in average
Opis:
Let T: H → H be an operator in the complex Hilbert space H. Suppose that T is square bounded in average in the sense that there exists a constant M(T) with the property that, for all natural numbers n and for all x ∈ H, the inequality $1/(n+1) ∑_{j=0}^n ∥T^{j}x∥^2 ≤ M(T)^{2} ∥x∥^{2}$ is satisfied. Also suppose that the adjoint T* of the operator T is square bounded in average with constant M(T*). Then the operator T is power bounded in the sense that $sup{∥T^i{n}∥: n ∈ ℕ}$ is finite. In fact the following inequality is valid for all n ∈ ℕ: ∥T^n∥ ≤ e M(T)M(T*). Suppose that T has a bounded everywhere defined inverse S with the property that for λ in the open unit disc of ℂ the operator $(I-λS)^{-1}$ exists and that the expression $sup{(1-|λ|)∥(I - λS)^{-1}∥: |λ| <1}$ is finite. If T is power bounded, then so is S and hence in such a situation the operator T is similar to a unitary operatorsimilarity to unitary operator}. If both the operators T* and S are square bounded in average, then again the operator T is similar to a unitary operator. Similar results hold for strongly continuous semigroups instead of (powers) of a single operator. Some results are also given in the more general Banach space context.
Źródło:
Banach Center Publications; 1997, 38, 1; 59-74
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A remark on a modified Szász-Mirakjan operator
Autorzy:
Zhou, Guanzhen
Zhou, Songping
Powiązania:
https://bibliotekanauki.pl/articles/965943.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
modified Szász-Mirakjan operator
Opis:
We prove that, for a sequence of positive numbers δ(n), if $n^{1/2}δ(n)\not\to\infty$ as $n\to\infty$, to guarantee that the modified Szász-Mirakjan operators $S_{n,δ}(f,x)$ converge to f(x) at every point, f must be identically zero.
Źródło:
Colloquium Mathematicum; 1999, 79, 2; 157-160
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł

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