Concrete Functional Calculus

Concrete Functional Calculus focuses primarily on differentiability of some nonlinear operators on functions or pairs of functions.  This  includes composition of two functions, and the product integral, taking a matrix- or operator-valued coefficient function into a solution of a system of linear d...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Dudley, R. M. (Author), Norvaiša, R. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Springer, 2011.
Edition:1st ed. 2011.
Series:Springer Monographs in Mathematics,
Subjects:
Functional analysis.
Integral equations.
Operator theory.
Functions of real variables.
Functional Analysis.
Integral Equations.
Operator Theory.
Real Functions.
Online Access:Texto Completo
Table of Contents:
  • Preface
  • 1 Introduction and Overview
  • 2 Definitions and Basic Properties of Extended Riemann-Stieltjes Integrals
  • 3 Phi-variation and p-variation; Inequalities for Integrals
  • 4 Banach Algebras
  • 5 Derivatives and Analyticity in Normed Spaces
  • 6 Nemytskii Operators on Some Function Spaces
  • 7 Nemytskii Oerators on Lp Spaces
  • 8 Two-Function Composition
  • 9 Product Integration
  • 10 Nonlinear Differential and Integral Equations
  • 11 Fourier Series
  • 12 Stochastic Processes and Phi-Variation
  • Appendix Nonatomic Measure Spaces
  • References
  • Subject Index
  • Author Index
  • Index of Notation.

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