**Topics in Real and Functional Analysis**

by Gerald Teschl

**Publisher**: Universitaet Wien 2016**Number of pages**: 486

**Description**:

This manuscript provides a brief introduction to Real and (linear and nonlinear) Functional Analysis. It covers basic Hilbert and Banach space theory as well as basic measure theory including Lebesgue spaces and the Fourier transform.

Download or read it online for free here:

**Download link**

(2.1MB, PDF)

## Similar books

**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.

(

**6389**views)

**Spectral Theory**

by

**Leif Mejlbro**-

**BookBoon**

Spectral Theory - Functional Analysis Examples. Contents: Spectrum and resolvent; The adjoint of a bounded operator; Self adjoint operator; Isometric operators; Unitary and normal operators; Positive operators and projections; Compact operators.

(

**9106**views)

**Nonlinear Functional Analysis**

by

**Gerald Teschl**-

**University of Vienna**

This manuscript provides a brief introduction to nonlinear functional analysis. As an application we consider partial differential equations and prove existence and uniqueness for solutions of the stationary Navier-Stokes equation.

(

**10296**views)

**Functional Analysis Lecture Notes**

by

**T.B. Ward**-

**University of East Anglia**

Lecture notes for a 3rd year undergraduate course in functional analysis. By the end of the course, you should have a good understanding of normed vector spaces, Hilbert and Banach spaces, fixed point theorems and examples of function spaces.

(

**7865**views)