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Tauberian Operators [electronic resource] / by Manuel González, Antonio Martínez-Abejón.

By: González, Manuel [author.].
Contributor(s): Martínez-Abejón, Antonio [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Operator Theory: Advances and Applications: 194Publisher: Basel : Birkhäuser Basel, 2010Description: online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783764389987.Subject(s): Mathematics | Operator theory | Mathematics | Operator TheoryDDC classification: 515.724 Online resources: Click here to access online
Contents:
The origins of tauberian operators -- Tauberian operators. Basic properties -- Duality and examples of tauberian operators -- Tauberian operators on spaces of integrable functions -- Some applications -- Tauberian-like classes of operators.
In: Springer eBooksSummary: This book gives a complete exposition of the theory of tauberian operators from the very basic results to the most recent advances making emphasis in its applications to Banach space theory. After describing the origins of the subject in the study of summability of series, it presents the general theory for tauberian operators on abstract Banach spaces. The main sources of examples of tauberian operators are described in detail, including the case of operators on spaces of integrable functions.
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The origins of tauberian operators -- Tauberian operators. Basic properties -- Duality and examples of tauberian operators -- Tauberian operators on spaces of integrable functions -- Some applications -- Tauberian-like classes of operators.

This book gives a complete exposition of the theory of tauberian operators from the very basic results to the most recent advances making emphasis in its applications to Banach space theory. After describing the origins of the subject in the study of summability of series, it presents the general theory for tauberian operators on abstract Banach spaces. The main sources of examples of tauberian operators are described in detail, including the case of operators on spaces of integrable functions.

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