**Functional Analysis**

by Gerald Teschl

**Publisher**: University of Vienna 2009**Number of pages**: 142

**Description**:

This free manuscript provides a brief introduction to Functional Analysis. The text covers basic Hilbert and Banach space theory including Lebesgue spaces and their duals (no knowledge about Lebesgue integration is assumed).

Download or read it online for free here:

**Download link**

(920KB, PDF)

## Similar books

**Operators on Hilbert Space**

by

**John Erdos**-

**King's College London**

These are notes for a King's College course to fourth year undergraduates and MSc students. They cover the theoretical development of operators on Hilbert space up to the spectral theorem for bounded selfadjoint operators.

(

**5250**views)

**Functional Analysis**

by

**Feng Tian, Palle E.T. Jorgensen**-

**arXiv**

Notes from a course which covered themes in functional analysis and operator theory, with an emphasis on topics of special relevance to such applications as representation theory, harmonic analysis, mathematical physics, and stochastic integration.

(

**6925**views)

**Basic Analysis Gently Done: Topological Vector Spaces**

by

**Ivan F. Wilde**-

**King's College, London**

These notes are based on lectures given as part of a mathematics MSc program. The approach here is to discuss topological vector spaces - with normed spaces considered as special cases. Contents: Topological Spaces; Nets; Product Spaces; etc.

(

**5409**views)

**Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics**

by

**N.P. Landsman**-

**arXiv**

A graduate-level introduction to C*-algebras, Hilbert C*-modules, vector bundles, and induced representations of groups and C*-algebras, with applications to quantization theory, phase space localization, and configuration space localization.

(

**7679**views)