Generalized Köthe-Toeplitz duals

The α and β-duals spaces of generalized ℓp spaces are characterized, where 0<p≤∞. The question of when the α and β dual spaces coincide is also considered.

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Main Author: I. J. Maddox
Format: Article
Language:English
Published: Wiley 1980-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171280000300
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author I. J. Maddox
author_facet I. J. Maddox
author_sort I. J. Maddox
collection DOAJ
description The α and β-duals spaces of generalized ℓp spaces are characterized, where 0<p≤∞. The question of when the α and β dual spaces coincide is also considered.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1980-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-6fbbcfc68fe541a7a2adcaaae4a88ced2025-02-03T01:23:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251980-01-013342343210.1155/S0161171280000300Generalized Köthe-Toeplitz dualsI. J. Maddox0Department of Pure Mathematics, Queen's University of Belfast, Belfast BT7 1NN, IrelandThe α and β-duals spaces of generalized ℓp spaces are characterized, where 0<p≤∞. The question of when the α and β dual spaces coincide is also considered.http://dx.doi.org/10.1155/S0161171280000300generalized K&#246;the-Toeplitz dual spacessequences of linear operatorsgeneralized &#8467;p spaces.
spellingShingle I. J. Maddox
Generalized Köthe-Toeplitz duals
International Journal of Mathematics and Mathematical Sciences
generalized K&#246;the-Toeplitz dual spaces
sequences of linear operators
generalized &#8467;p spaces.
title Generalized Köthe-Toeplitz duals
title_full Generalized Köthe-Toeplitz duals
title_fullStr Generalized Köthe-Toeplitz duals
title_full_unstemmed Generalized Köthe-Toeplitz duals
title_short Generalized Köthe-Toeplitz duals
title_sort generalized kothe toeplitz duals
topic generalized K&#246;the-Toeplitz dual spaces
sequences of linear operators
generalized &#8467;p spaces.
url http://dx.doi.org/10.1155/S0161171280000300
work_keys_str_mv AT ijmaddox generalizedkothetoeplitzduals