A comprehensive introduction to functional analysis, starting from the fundamentals and extending into theory and applications across multiple disciplines.
A comprehensive introduction to functional analysis, starting from the fundamentals and extending into theory and applications across multiple disciplines.
Rabindranath Sen is a retired professor and former head of the Department of Applied Mathematics at the University of Calcutta.
Inhaltsangabe
Introduction I. Preliminaries II. Normed Linear Spaces III. Hilbert Space IV. Linear Operators V. Linear Functionals VI. Space of Bounded Linear Functionals VII. Closed Graph Theorem and Its Consequences VIII. Compact Operators on Normed Linear Spaces IX. Elements of Spectral Theory of Self-Adjoint Operators in Hilbert Spaces X. Measure and Integration Lp Spaces XI. Unbounded Linear Operators XII. The Hahn-Banach Theorem and Optimization Problems XIII. Variational Problems XIV. The Wavelet Analysis XV. Dynamical Systems List of Symbols Bibliography Index
Introduction I. Preliminaries II. Normed Linear Spaces III. Hilbert Space IV. Linear Operators V. Linear Functionals VI. Space of Bounded Linear Functionals VII. Closed Graph Theorem and Its Consequences VIII. Compact Operators on Normed Linear Spaces IX. Elements of Spectral Theory of Self-Adjoint Operators in Hilbert Spaces X. Measure and Integration Lp Spaces XI. Unbounded Linear Operators XII. The Hahn-Banach Theorem and Optimization Problems XIII. Variational Problems XIV. The Wavelet Analysis XV. Dynamical Systems List of Symbols Bibliography Index
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