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

by Ivan F. Wilde

**Publisher**: King's College, London 2010**Number of pages**: 129

**Description**:

These notes are based on lectures given at King's College London (as part of the 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; Separation; Vector Spaces; Topological Vector Spaces; Locally Convex Topological Vector Spaces; Banach Spaces; The Dual Space of a Normed Space; Frechet Spaces.

Download or read it online for free here:

**Read online**

(online reading)

## Similar books

**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.

(

**7915**views)

**Special Course in Functional Analysis: (Non-)Commutative Topology**

by

**Ville Turunen**-

**Aalto TKK**

In this book you will learn something about functional analytic framework of topology. And you will get an access to more advanced literature on non-commutative geometry, a quite recent topic in mathematics and mathematical physics.

(

**6965**views)

**Functional Analysis**

by

**Gerald Teschl**-

**University of Vienna**

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).

(

**9697**views)

**Functional Analysis**

by

**Alexander C. R. Belton**-

**Lancaster University**

These lecture notes are an expanded version of a set written for a course given to final-year undergraduates at the University of Oxford. A thorough understanding of Banach and Hilbert spaces is a prerequisite for this material.

(

**7544**views)