**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

**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.

(

**8980**views)

**Hilbert Spaces and Operators on Hilbert Spaces**

by

**Leif Mejlbro**-

**BookBoon**

Functional analysis examples. From the table of contents: Hilbert spaces; Fourier series; Construction of Hilbert spaces; Orthogonal projections and complements; Weak convergence; Operators on Hilbert spaces, general; Closed operations.

(

**7680**views)

**Functors and Categories of Banach Spaces**

by

**Peter W. Michor**-

**Springer**

The aim of this book is to develop the theory of Banach operator ideals and metric tensor products along categorical lines: these two classes of mathematical objects are endofunctors on the category Ban of all Banach spaces in a natural way.

(

**5528**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.

(

**4960**views)