Results 51 to 60 of about 884 (163)

p-representable operators in Banach spaces

International Journal of Mathematics and Mathematical Sciences, 1986
Let E and F be Banach spaces. An operator T∈L(E,F) is called p-representable if there exists a finite measure μ on the unit ball, B(E*), of E* and a function g∈Lq(μ,F), 1p+1q=1, such thatTx=∫B(E*)〈x,x*〉g(x*)dμ(x*)for all x∈E.
Roshdi Khalil
doaj   +1 more source

Semigroup of Operators on Dual Banach Spaces [PDF]

Proceedings of the American Mathematical Society, 1976
In this paper, we give a short and simple proof to a more general version of a recent result of Yeadon for semigroups of weak ∗ ^{\ast } -continuous operators on a dual Banach space. Our result has application to amenable groups and property P {\text {P}} of a von Neumann ...
openaire   +2 more sources

$M$-operators on partially ordered Banach spaces

Advances in Operator Theory, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
‎Kalauch, A., ‎Lavanya, S., ‎Sivakumar, K. C.   +2 more
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Operators on Tensor Products of Banach Spaces [PDF]

Transactions of the American Mathematical Society, 1972
The present paper is a study of operators on tensor products of Banach spaces with the notion of maximal extensions introduced by G. Ki5the such that the closure of a closable operator is its unique maximal extension. For a class of such operators the spectral mapping theorem is established.
openaire   +2 more sources

Matrix Mappings on the Domains of Invertible Matrices

Journal of Function Spaces and Applications, 2013
We focus on sequence spaces which are matrix domains of Banach sequence spaces. We show that the characterization of a random matrix operator , where and are matrix domains with invertible matrices and , can be reduced to the characterization of the ...
Muhammed Altun
doaj   +1 more source

Dissipative operators on Banach spaces

Journal of Functional Analysis, 2007
A bounded linear operator \(T\) on a Banach space \(X\) is said to be dissipative if \(\| \exp(tT)\| \leq 1\) for all \(t \geq 0\), and is said to be Hermitian if \(\| \exp(itT)\| = 1\) for all \(t \in \mathbb R\). For a dissipative operator, it is proved that \[ \lim_{t \to \infty}\| \exp(tT)T\| = \sup\{| \lambda| : \lambda\in\sigma(T)\cap i\mathbb R \
openaire   +3 more sources

Isomorphisms of algebras of symmetric functions on spaces $\ell_p$

Математичні Студії
The work is devoted to the study of algebras of entire symmetric functions on some Banach spaces of sequences. A function on a vector space is called symmetric with respect to some fixed group $G$ of operators acting on this space, or $G$-symmetric, if ...
T. V. Vasylyshyn
doaj   +1 more source

Some Bounded Linear Integral Operators and Linear Fredholm Integral Equations in the Spaces Hα,δ,γ((a,b)×(a,b),X) and Hα,δ((a,b),X)

Abstract and Applied Analysis, 2013
The spaces Hα,δ,γ((a,b)×(a,b),ℝ) and Hα,δ((a,b),ℝ) were defined in ((Hüseynov (1981)), pages 271–277). Some singular integral operators on Banach spaces were examined, (Dostanic (2012)), (Dunford (1988), pages 2419–2426 and (Plamenevskiy (1965)).
İsmet Özdemir, Ali M. Akhmedov, Ö. Faruk Temizer   +2 more
doaj   +1 more source

Existence of fixed points of large MR-Kannan contractions in Banach Spaces

Applied General Topology
The purpose of this paper is to introduce the class of large MR-Kannan contractions on Banach space that contains the classes of Kannan, enriched Kannan, large Kannan, MR-Kannan contractions and some other classes of nonlinear operators.
Rizwan Anjum, Mujahid Abbas, Muhammad Waqar Akram, Stojan Radenović   +3 more
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Differences of Weighted Composition Operators on Hα∞(BN)∗

Journal of Inequalities and Applications, 2009
We study the boundedness and compactness of differences of weighted composition operators on weighted Banach spaces in the unit ball of CN.
Jineng Dai, Caiheng Ouyang
doaj   +1 more source