Results 11 to 20 of about 305,614 (232)
Extendibility of bilinear forms on banach sequence spaces [PDF]
Israel Journal of Mathematics, 2014 We study Hahn-Banach extensions of multilinear forms defined on Banach sequence spaces. We characterize $c_0$ in terms of extension of bilinear forms, and describe the Banach sequence spaces in which every bilinear form admits extensions to any superspace.
Carando, Daniel Germán +1 more
openaire +6 more sources
New Banach Sequence Spaces Defined by Jordan Totient Function
Communications in Advanced Mathematical Sciences, 2023 In this study, a special lower triangular matrix derived by combining Riesz matrix and Jordan totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators are ...
Uskan Devletli̇, Merve İlkhan Kara
semanticscholar +1 more source
A Class of Hereditarily $ell_p(c_0)$ Banach spaces [PDF]
Sahand Communications in Mathematical Analysis, 2019 We extend the class of Banach sequence spaces constructed by Ledari, as presented in ''A class of hereditarily $ell_1$ Banach spaces without Schur property'' and obtain a new class of hereditarily $ell_p(c_0)$ Banach spaces for $1leq ...
Somayeh Shahraki, Alireza Ahmadi Ledari
doaj +1 more source
Banach spaces of GLT sequences and function spaces
The Electronic Journal of Linear Algebra, 2022 Generalized locally Toeplitz (GLT) sequences of matrices originated from the spectral study of certain partial differential equations. To be more precise, such matrix sequences arise when we numerically approximate either partial differential equations or fractional differential equations using any discretization by local methods (finite differences ...
Kumar, V. B. Kiran +2 more
openaire +3 more sources
Approximative K-atomic decompositions and frames in Banach spaces [PDF]
Arab Journal of Mathematical Sciences, 2020 L. Gǎvruţa (2012) introduced a special kind of frames, named K-frames, where K is an operator, in Hilbert spaces, which is significant in frame theory and has many applications.
Shah Jahan
doaj +1 more source
Overcomplete sets in non-separable Banach spaces [PDF]
, 2020 We introduce and study the notion of overcomplete set in a Banach space, that subsumes and extends the classical concept of overcomplete sequence in a (separable) Banach space.
Russo, Tommaso, Somaglia, Jacopo
core +2 more sources
Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm
Journal of Harbin University of Science and Technology, 2022 Nearly uniform noncreasy is a important property in Banach spaces. In this paper we introduce a new geometric property, which is called sub nearly uniformly convex property.
Cui Yun-an, Dai Ming-jun
doaj +1 more source
Property ( k) of Orlicz Sequence Spaces
Journal of Harbin University of Science and Technology, 2017 Property ( k) is an important geometric property in Banach spaces，and it is closely associated with fixed point property． By the geometric theory of Banach spaces and Orlicz spaces， we investigated the characterization for property( k) in a special ...
ZUO Ming-xia, PENG Li-na
doaj +1 more source
Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
Fixed Point Theory and Applications, 2004 We first introduce an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized projection.
Wataru Takahashi, Shin-ya Matsushita
doaj +2 more sources