WEAKLY COMPACT WEDGE OPERATORS ON KOTHE ECHELON SPACES

Abstract. We study wedge operators dened on spaces of operators between Kothe echelon or co-echelon spaces of order 1 < p < 1. In this case the wedge operator, dened by T! LTR for non-zero operators L and R, maps bounded sets into relatively weakly compact sets if and only if the operator L or...

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Main Authors: Annales Academi, Scientiarum Fennic, Miguel Friz, E. T. S. I. Arquitectura
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
Subjects:
tylli
Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.618.7546
http://emis.math.tifr.res.in/journals/AASF/Vol29/bonet.pdf
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spelling ftciteseerx:oai:CiteSeerX.psu:10.1.1.618.7546 2023-05-15T18:41:22+02:00 WEAKLY COMPACT WEDGE OPERATORS ON KOTHE ECHELON SPACES Annales Academi Scientiarum Fennic Miguel Friz E. T. S. I. Arquitectura The Pennsylvania State University CiteSeerX Archives application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.618.7546 http://emis.math.tifr.res.in/journals/AASF/Vol29/bonet.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.618.7546 http://emis.math.tifr.res.in/journals/AASF/Vol29/bonet.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://emis.math.tifr.res.in/journals/AASF/Vol29/bonet.pdf text ftciteseerx 2016-01-08T14:52:15Z Abstract. We study wedge operators dened on spaces of operators between Kothe echelon or co-echelon spaces of order 1 < p < 1. In this case the wedge operator, dened by T! LTR for non-zero operators L and R, maps bounded sets into relatively weakly compact sets if and only if the operator L or the operator R maps bounded sets into relatively compact sets. This is an extension of a result of Saksman and Tylli for the sequence space lp. The corresponding result for operators mapping a neighbourhood into a relatively weakly compact set does not hold, as an example shows. 1. Introduction and Text tylli Unknown
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description Abstract. We study wedge operators dened on spaces of operators between Kothe echelon or co-echelon spaces of order 1 < p < 1. In this case the wedge operator, dened by T! LTR for non-zero operators L and R, maps bounded sets into relatively weakly compact sets if and only if the operator L or the operator R maps bounded sets into relatively compact sets. This is an extension of a result of Saksman and Tylli for the sequence space lp. The corresponding result for operators mapping a neighbourhood into a relatively weakly compact set does not hold, as an example shows. 1. Introduction and
author2 The Pennsylvania State University CiteSeerX Archives
format Text
author Annales Academi
Scientiarum Fennic
Miguel Friz
E. T. S. I. Arquitectura
spellingShingle Annales Academi
Scientiarum Fennic
Miguel Friz
E. T. S. I. Arquitectura
WEAKLY COMPACT WEDGE OPERATORS ON KOTHE ECHELON SPACES
author_facet Annales Academi
Scientiarum Fennic
Miguel Friz
E. T. S. I. Arquitectura
author_sort Annales Academi
title WEAKLY COMPACT WEDGE OPERATORS ON KOTHE ECHELON SPACES
title_short WEAKLY COMPACT WEDGE OPERATORS ON KOTHE ECHELON SPACES
title_full WEAKLY COMPACT WEDGE OPERATORS ON KOTHE ECHELON SPACES
title_fullStr WEAKLY COMPACT WEDGE OPERATORS ON KOTHE ECHELON SPACES
title_full_unstemmed WEAKLY COMPACT WEDGE OPERATORS ON KOTHE ECHELON SPACES
title_sort weakly compact wedge operators on kothe echelon spaces
url http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.618.7546
http://emis.math.tifr.res.in/journals/AASF/Vol29/bonet.pdf
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genre_facet tylli
op_source http://emis.math.tifr.res.in/journals/AASF/Vol29/bonet.pdf
op_relation http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.618.7546
http://emis.math.tifr.res.in/journals/AASF/Vol29/bonet.pdf
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