Continuous dual of $c_0(Z,X,\bar\lambda, \bar p)$ and $c(Z,X,\bar\lambda, \bar p)$

Abstract

A bilateral sequence is a function whose domain is the set $Z$ of all integers with natural ordering. In this paper we study the continuous dual of the Banach space of $X$-valued bilateral sequence spaces $c_0(Z,X,\bar\lambda, \bar p)$ and $c(Z,X,\bar\lambda, \bar p)$.

Key words: Bilateral sequence, sequence space, continuous dual, Kothe-Toeplitz duals.

Full Text

Article Information

Title	Continuous dual of $c_0(Z,X,\bar\lambda, \bar p)$ and $c(Z,X,\bar\lambda, \bar p)$
Source	Methods Funct. Anal. Topology, Vol. 20 (2014), no. 1, 92-100
MathSciNet	MR3242125
zbMATH	1313.46005
Milestones	Received 21/11/2012; Revised 02/10/2013
Copyright	The Author(s) 2014 (CC BY-SA)

Authors Information

Riti Agrawal
M.M.M. Engineering College Gorakhpur 273010, India

J. K. Srivastava
D.D.U. Gorakhpur University Gorakhpur 273009, India 

Citation Example

Riti Agrawal and J. K. Srivastava, Continuous dual of $c_0(Z,X,\bar\lambda, \bar p)$ and $c(Z,X,\bar\lambda, \bar p)$, Methods Funct. Anal. Topology 20 (2014), no. 1, 92-100.

BibTex

@article {MFAT672,
    AUTHOR = {Agrawal, Riti and Srivastava, J. K.},
     TITLE = {Continuous dual of $c_0(Z,X,\bar\lambda, 
\bar p)$ and $c(Z,X,\bar\lambda, 
\bar p)$},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {20},
      YEAR = {2014},
    NUMBER = {1},
     PAGES = {92-100},
      ISSN = {1029-3531},
  MRNUMBER = {MR3242125},
 ZBLNUMBER = {1313.46005},
       URL = {http://mfat.imath.kiev.ua/article/?id=672},
}