Serious mathematics, written with the reader in mind.

Matrix Editions

Current Books

Future Books


Math Links

Math in literature

Other Books









 Home    Orders: US  Orders: other countries   Shopping Cart

Matrix Editions future books


For information on volume 1:

Functional Analysis Volume 1: A Gentle Introduction

In preparation:

Functional Analysis Volume 2:

The spectral theorem for normal compact operators

Tentative list of topics:

Measure and integration
Normed and topological vector spaces; Hilbert spaces
Schauder bases; coefficient functionals and basic sequences
equivalent bases
Schauder basis for C([a,b], R)
The Hahn-Banach theorem and its consequences
Separation theorems
Annihilators and the Banach adjoint
Dual spaces of some well-known spaces
Dual spaces of closed subsapces and quotient spaces
Basic sequences in dual spaces
The bi-dual and reflexivity
Characterizations of reflexivity
Weak and weak star toplogy
Tukey's lemma and Tychonov's theorem on product of compact topological spaces
Weak convergence in l^p
Weak completeness of reflexive normed spaces
Schur's theorem on the equivalence of weak and strong convergence in
l^1; A Bolzano-Weierstrass theorem for weak convergence
The Banach-Alaoglu theorem
Operators on Hilbert spaces
Spectral theory of Banach algebras
The spectral radius formula and the spectral mapping theorem
Gelfand-Mazur theorem and Wienner's theorem
Compact operatorsand finite-rank operators
spectral theory of compact operators
The spectral theorem for compact normal operators on Hilbert space

If you would like to be notified when this book becomes available, please sign up here.

Top of page

Back to Home