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The Radon-Nikodym Property for Positive Tensor Products: On the Wittstock and Fremlin Tensor Products of Orlicz Sequence Spaces and Banach Lattices - Softcover
Synopsis
In 1955, Grothendieck systematically introduced the general theory of tensor products for Banach spaces. As for Banach lattices case, in 1974 and 1972, Wittstock and Fremlin respectively introduced the Wittstock (positive) injective and Fremlin (positive) projective tensor product for Banach lattices. In 2006, Bu and Buskes used l_p as a special case, discussed the Radon-Nikodym property for the Wittstock and Fremlin Tensor products of l_p and Banach lattices. Based on that result, we improved the result to Orlicz sequence space, a more generalized case. In this dissertation, we first introduce several Banach lattice-valued sequence spaces. By proving they are isometrically isomorphic and Riesz isomorphic to the Wittstock injective tensor product and Fremlin projective tensor product respectively, we then use them as the sequential representations of these two positive tensor products. Finally, by studying these sequential representations, we obtain characterizations of the Radon-Nikodym property on these two positive tensor products.
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About the Author
Dr Wei-Kai Lai is an assist. professor in the USC Salkehatchie. He received his Ph.D. of Maths from the University of Mississippi,is a member of the Mathematical Association of America,and the organizer of Carolina Mathematics Seminar. His research focuses on geometric properties of positive tensor products, Banach lattices, and positive operators
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- PublisherLAP LAMBERT Academic Publishing
- Publication date2011
- ISBN 10 3844381295
- ISBN 13 9783844381290
- BindingPaperback
- LanguageEnglish
- Number of pages76
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The Radon-Nikodym Property for Positive Tensor Products
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LAP LAMBERT Academic Publishing Okt 2011, 2011
ISBN 10: 3844381295
ISBN 13: 9783844381290
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In 1955, Grothendieck systematically introduced the general theory of tensor products for Banach spaces. As for Banach lattices case, in 1974 and 1972, Wittstock and Fremlin respectively introduced the Wittstock (positive) injective and Fremlin (positive) projective tensor product for Banach lattices. In 2006, Bu and Buskes used l_p as a special case, discussed the Radon-Nikodym property for the Wittstock and Fremlin Tensor products of l_p and Banach lattices. Based on that result, we improved the result to Orlicz sequence space, a more generalized case. In this dissertation, we first introduce several Banach lattice-valued sequence spaces. By proving they are isometrically isomorphic and Riesz isomorphic to the Wittstock injective tensor product and Fremlin projective tensor product respectively, we then use them as the sequential representations of these two positive tensor products. Finally, by studying these sequential representations, we obtain characterizations of the Radon-Nikodym property on these two positive tensor products. 76 pp. Englisch. Seller Inventory # 9783844381290
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The Radon-Nikodym Property for Positive Tensor Products : On the Wittstock and Fremlin Tensor Products of Orlicz Sequence Spaces and Banach Lattices
Published by
LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3844381295
ISBN 13: 9783844381290
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In 1955, Grothendieck systematically introduced the general theory of tensor products for Banach spaces. As for Banach lattices case, in 1974 and 1972, Wittstock and Fremlin respectively introduced the Wittstock (positive) injective and Fremlin (positive) projective tensor product for Banach lattices. In 2006, Bu and Buskes used l_p as a special case, discussed the Radon-Nikodym property for the Wittstock and Fremlin Tensor products of l_p and Banach lattices. Based on that result, we improved the result to Orlicz sequence space, a more generalized case. In this dissertation, we first introduce several Banach lattice-valued sequence spaces. By proving they are isometrically isomorphic and Riesz isomorphic to the Wittstock injective tensor product and Fremlin projective tensor product respectively, we then use them as the sequential representations of these two positive tensor products. Finally, by studying these sequential representations, we obtain characterizations of the Radon-Nikodym property on these two positive tensor products. Seller Inventory # 9783844381290
Quantity: 1 available
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The Radon-Nikodym Property for Positive Tensor Products
Published by
LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3844381295
ISBN 13: 9783844381290
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Softcover
Seller: moluna, Greven, Germany
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Lai Wei-KaiDr Wei-Kai Lai is an assist. professor in the USC Salkehatchie. He received his Ph.D. of Maths from the University of Mississippi,is a member of the Mathematical Association of America,and the organizer of Carolina Mathema. Seller Inventory # 5475664
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