Optimal Domain and Integral Extension of Operators: Acting in Function Spaces: 180 (Operator Theory: Advances and Applications, 180) - Tapa dura

Libro 29 de 132: Operator Theory: Advances and Applications

Okada, S.; Ricker, Werner J.; Sánchez Pérez, Enrique A.

 
9783764386474: Optimal Domain and Integral Extension of Operators: Acting in Function Spaces: 180 (Operator Theory: Advances and Applications, 180)

Sinopsis

Operator theory and functional analysis have a long tradition, initially being guided by problems from mathematical physics and applied mathematics. Many of the ?rst ideas in geometry, basis theory and the isomorphic theory of Banach spaces have vector measure-theoretic origins and can be credited (amongst others) to N.

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Reseña del editor

This book deals with the analysis of linear operators from a quasi-Banach function space into a Banach space. The central theme is to extend the operator to as large a (function) space as possible, its optimal domain, and to take advantage of this in analyzing the original operator. Most of the material appears in print for the first time. The book has an interdisciplinary character and is aimed at graduates, postgraduates, and researchers in modern operator theory.

Reseña del editor

This book deals with the analysis of linear operators from a quasi-Banach function space into a Banach space. The central theme is to extend the operator to as large a (function) space as possible, its optimal domain, and to take advantage of this in analyzing the original operator. Applications are given to Maurey-Rosenthal factorization of operators and to classical operators arising in commutative harmonic analysis. The main tool is the vector measure associated to such an operator, which produces a corresponding space of integrable functions and an integration operator.

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