.png){kind=icon}
Return
Generalized vector-valued paranormed sequence space using modulus function
.png){kind=icon}
PRE
AI
DOI：10.1016/j.amc.2009.12.012.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
In this paper we introduce a generalized vector-valued paranormed sequence space N(p)(E(k) Delta(m); f, s) using modulus function f, where p = (p(k)) is a bounded sequence of positive real numbers such that inf(k)p(k) > 0; (E(k), q(k)) is a sequence of seminormed spaces with E(k+1) subset of E(k) for each k is an element of N and s >= 0. We have also studied sequence space N(p) (E(k), Delta(m), f(r), s), where f(r) = f circle f circle f circle,..., f (r-times composition of f with itself) and r is an element of N {1, 2, 3,... }. Results regarding completeness, K-space, normality, inclusion relations etc. are derived. Further, a study of multiplier of the set N(p)(E(k), f, s) is also made by choosing (E(k), parallel to .parallel to(k)) as sequence of normed algebras. (C) 2010 Elsevier Inc. All rights reserved.
Keywords:
Modulus function
Paranormed space
Normal sequence space
Difference sequence space
Journal
IF:
3.4
Papers:
2.3W
Citations:
3.3W
Organization
.png){kind=icon}
