This text offers a complete exposition of the theory of tauberian operators. It describes the origins of the subject in the study of summability of series, and it covers the most recent advances, emphasizing its applications to Banach space theory.
Tauberian Theory A Century of Developments
History of Banach Spaces and Linear Operators
Convolution Operators on Groups
Three-space Problems in Banach Space Theory
Theory of Sobolev Multipliers With Applications to Differential and Integral Operators
Current Topics in Summability Theory and Applications
Multipliers for (C,alpha)-Bounded Fourier Expansions in Banach Spaces and Approximation Theory (Lecture Notes in Mathematics, 329)
An Introduction to Banach Space Theory
Topics in Banach Space Theory
Fredholm and Local Spectral Theory II With Application to Weyl-type Theorems