We say that a subset G of C 0 (T, R k ) is rotation-invariant if [Qg: g # G]=G for any k\_k orthogonal matrix Q. Let G be a rotation-invariant finite-dimensional subspace of C 0 (T, R k ) on a connected, locally compact, metric space T. We prove that G is a generalized Haar subspace if and only if P
Generalized Spaces of Difference Sequences
β Scribed by Mursaleen
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 129 KB
- Volume
- 203
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
Let l , c and c be the Banach spaces of bounded convergent and null
π SIMILAR VOLUMES
## Operators factoring through a generalized sequence space; applications By NICOLE DE GRANDE-DE KIMPE of Brussel (Eingegangen am 10.7. 1978) ## Q 1. Introduction The results obtained in this paper belong to the theory of BANACH operator ideals as well as to the theory of locally convex spaces
## Abstract This article deals with the relationship between an operator ideal and its natural polynomial extensions. We define the concept of coherent sequence of polynomial ideals and also the notion of compatibility between polynomial and operator ideals. We study the stability of these properti
## Abstract Generalized OrliczβLorentz sequence spaces __Ξ»~Ο~__ generated by MusielakβOrlicz functions Ο satisfying some growth and regularity conditions (see [28] and [33]) are investigated. A regularity condition __Ξ΄__^__Ξ»__^ ~2~ for Ο is defined in such a way that it guarantees many positive top