González, Manuel.
Tauberian Operators [electronic resource] / by Manuel González, Antonio Martínez-Abejón. - online resource. - Operator Theory: Advances and Applications ; 194 . - Operator Theory: Advances and Applications ; 194 .
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.
9783764389987
10.1007/978-3-7643-8998-7 doi
Mathematics.
Operator theory.
Mathematics.
Operator Theory.
QA329-329.9
515.724
Tauberian Operators [electronic resource] / by Manuel González, Antonio Martínez-Abejón. - online resource. - Operator Theory: Advances and Applications ; 194 . - Operator Theory: Advances and Applications ; 194 .
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.
9783764389987
10.1007/978-3-7643-8998-7 doi
Mathematics.
Operator theory.
Mathematics.
Operator Theory.
QA329-329.9
515.724