On the imbedding of sequence spaces \(\ell ^ p(\mu)\) into \(\ell ^ r(\nu)\)
type: Item
instance of: scholarly article
title: On the imbedding of sequence spaces \(\ell ^ p(\mu)\) into \(\ell ^ r(\nu)\)
zbMATH Open document ID: 0566.46006
DOI: 10.1007/BF01116880
published in: Lithuanian Mathematical Journal
publication date: 1981-01-01T00:00:00Z
review text: For \(\mu =\{\mu_ k\}^ a \)sequence of positive numbers, \(\ell^ p\{\mu \}\) is the Banach space of all sequences \(\{w_ k\}\) of complex numbers such that \(\Sigma_ k| w_ k|^ p\mu_ k<\infty\). The author finds conditions on the sequences \(\mu\) and \(\nu =\{\nu_ k\}\) such that \(\ell^ p(\mu)\subset \ell^ r(\nu)\).
Mathematics Subject Classification ID: 46A45
zbMATH DE Number: 3903318
author: V. P. Kabaila
MaRDI profile type: Publication
cites work: Q4774550
cites work: Q5848315
full work available at URL: https://doi.org/10.1007/bf01116880
OpenAlex ID: W2093767834
description: scientific article; zbMATH DE number 3903318