Results 1 to 10 of about 301 (22)
On the compactness and the essential norm of operators defined by infinite tridiagonal matrices
Concrete Operators, 2023 In this article, all sequences u{\boldsymbol{u}}, v{\boldsymbol{v}}, and w{\boldsymbol{w}} that define continuous and compact tridiagonal operators Tu,v,w{T}_{u,v,w} acting on the weighted sequence space lβ2{l}_{\beta }^{2} were characterized ...
Caicedo Alexander +2 more
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Domination and Kwapień’s factorization theorems for positive Cohen p–nuclear m–linear operators
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we introduce and study the concept of positive Cohen p-nuclear multilinear operators between Banach lattice spaces. We prove a natural analog to the Pietsch domination theorem for this class.
Bougoutaia Amar +2 more
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Weak compactness of almost limited operators [PDF]
, 2014 The paper is devoted to the relationship between almost limited operators and weakly compacts operators. We show that if $F$ is a $\sigma $-Dedekind complete Banach lattice then, every almost limited operator $T:E\rightarrow F $ is weakly compact if and ...
Elbour, A., Machrafi, N., Moussa, M.
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Bu’s theorem in the positive situation
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we valorize the relationship between positive p−summing operators and positive strongly q−summing operators using (Contemp. Math. 328, 145 − 149 (2003)).
Bougoutaia Amar, Belacel Amar
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The ideal center of the dual of a Banach lattice [PDF]
, 2010 Let $E$ be a Banach lattice. Its ideal center $Z(E)$ is embedded naturally in the ideal center $Z(E')$ of its dual. The embedding may be extended to a contractive algebra and lattice homomorphism of $Z(E)"$ into $Z(E')$.
Orhon, Mehmet
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The lattice‐isometric copies of ℓ∞(Γ) in quotients of Banach lattices
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 47, Page 3003-3006, 2003., 2003 Let E be a Banach lattice and let M be a norm‐closed and Dedekind σ‐complete ideal of E. If E contains a lattice‐isometric copy of ℓ∞, then E/M contains such a copy as well, or M contains a lattice copy of ℓ∞. This is one of the consequences of more general results presented in this paper.
Marek Wójtowicz
wiley +1 more source
About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 7, Page 451-465, 2001., 2001 The Rademacher series in rearrangement invariant function spaces “close” to the space L∞ are considered. In terms of interpolation theory of operators, a correspondence between such spaces and spaces of coefficients generated by them is stated. It is proved that this correspondence is one‐to‐one. Some examples and applications are presented.
Sergey V. Astashkin
wiley +1 more source
Once More on Positive Commutators
, 2012 Let A and B be bounded operators on a Banach lattice E such that the commutator C=AB-BA and the product BA are positive operators. If the product AB is a power-compact operator, then C is a quasi-nilpotent operator having a triangularizing chain of ...
Drnovšek, Roman
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A short proof of some recent results related to Ces{\`a}ro function spaces
, 2012 We give a short proof of the recent results that, for every $1\leq p< \infty,$ the Ces{\`a}ro function space $Ces_p(I)$ is not a dual space, has the weak Banach-Saks property and does not have the Radon-Nikodym property.Comment: 4 ...
Astashkin, Sergey V., Maligranda, Lech
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Mean ergodicity vs weak almost periodicity
, 2018 We provide explicit examples of positive and power-bounded operators on $c_0$ and $\ell^\infty$ which are mean ergodic but not weakly almost periodic. As a consequence we prove that a countably order complete Banach lattice on which every positive and ...
Gerlach, Moritz, Glück, Jochen
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