Results 21 to 30 of about 92 (65)
The Hausdorff measure of noncompactness of matrix operators on some BK spaces
, 2011 In the present paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the spaces c0 and ∞ which have recently been introduced in [On the spaces of λ -convergent ...
M. Mursaleen, A. K. Noman
semanticscholar +1 more source
On k‐nearly uniform convex property in generalized Cesàro sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 57, Page 3599-3607, 2003., 2003 We define a generalized Cesàro sequence space ces(p), where p = (pk) is a bounded sequence of positive real numbers, and consider it equipped with the Luxemburg norm. The main purpose of this paper is to show that ces(p) is k‐nearly uniform convex (k‐NUC) for k ≥ 2 when limn→∞infpn > 1. Moreover, we also obtain that the Cesàro sequence space cesp(where
Winate Sanhan, Suthep Suantai
wiley +1 more source
Characterizations of compact operators on ℓp−type fractional sets of sequences
Demonstratio Mathematica, 2019 Among the sets of sequences studied, difference sets of sequences are probably the most common type of sets. This paper considers some ℓp−type fractional difference sets via the gamma function.
Özger Faruk
doaj +1 more source
On some new weighted Euler sequence spaces and compact operators
, 2014 In this paper, we define some new Euler sequence spaces and construct Schauder basis of these spaces. Moreover, we determine their β−duals and characterize some related matrix classes.
M. Basarir, E. Kara, Ş. Konca
semanticscholar +1 more source
, 2010 We create a new family of Banach spaces, the James‐Schreier spaces, by amalgamating two important classical Banach spaces: James’ quasi-reflexive Banach space on the one hand and Schreier’s Banach space giving a counterexample to the Banach‐Saks property
A. Bird, N. Laustsen
semanticscholar +1 more source
Open MathematicsIn this article, we provide a comprehensive study on the continuity and essential norm of an operator defined by an infinite tridiagonal matrix, specifically when it operates from a weighted Orlicz sequence space or a weighted l∞{l}^{\infty } space into ...
Ramos-Fernández Julio C. +2 more
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The metric theory of tensor products (grthendieck's résumé revisited) part 3: vector sequence spaces [PDF]
, 2002 In this part of our exposition and expansion of Grothendieck's work on the metric theory of tensor products we look at the behaviour of the injective and surjective tensor norms in the case where one of the component spaces is a classical sequence space ...
Fourie, Jan, Swart, Johan, Diestel, Joe
core
On Motzkin sequence spaces via q-analog and compact operators
Demonstratio MathematicaWe aim to develop a qq-analog of recently introduced Motzkin sequence spaces by Erdem et al. [Motzkin sequence spaces and Motzkin core, Numer. Funct. Anal. Optim. 45 (2024), no.
Yaying Taja, Mursaleen Mohammad
doaj +1 more source
Characterizations of new cohen summing bilinear operators [PDF]
, 2018 We prove two characterizations of new Cohen summing bilinear operators. The first one is: Let X, Y and Z be Banach spaces, 1 < p < ∞, V : X x Y → Z a bounded linear operator and n ≥ 2 a natural number.
Popa, Dumitru
core
The essential norm of bounded diagonal infinite matrices acting on Banach sequence spaces
Demonstratio MathematicaWe calculate the essential norm of bounded diagonal infinite matrices acting on Köthe sequence spaces. As a consequence of our result, we obtain a recent criteria for the compactness of multiplication operator acting on Köthe sequence spaces.
Fernández Julio C. Ramos +2 more
doaj +1 more source