**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.

(

**9518**views)

**Introduction to Functional Analysis**

by

**Vladimir V. Kisil**-

**University of Leeds**

Contents: Fourier Series; Basics of Linear Spaces; Orthogonality; Fourier Analysis; Duality of Linear Spaces; Operators; Spectral Theory; Compactness; The spectral theorem for compact normal operators; Applications to integral equations; etc.

(

**8091**views)

**Lectures on Cyclic Homology**

by

**D. Husemoller**-

**Tata Institute of Fundamental Research**

Contents: Exact Couples and the Connes Exact Couple; Abelianization and Hochschild Homology; Cyclic Homology and the Connes Exact Couple; Cyclic Homology and Lie Algebra Homology; Mixed Complexes, the Connes Operator B; and more.

(

**4913**views)

**Integral Operators**

by

**Leif Mejlbro**-

**BookBoon**

Examples of Hilbert-Smith operators and other types of integral operators, Hilbert Schmidt norm, Volterra integral operator, Cauchy-Schwarz inequality, Hoelder inequality, iterated kernels, Hermitian kernel, and much more.

(

**7467**views)