description: Emphasizing a clear exposition for readers familiar with elementary measure theory and the fundamentals of set theory and general topology, presents the basic notions and methods of the theory of Hilbert spaces, a part of functional analysis being increasingly applied in mathematics and theoretical physics. Discusses the underlying notion of the relevant algebraic lattice, and the spectral theory of operators on Hilbert spaces through representations of function algebras and semi-spectral measures. Translated from the fourth Polish edition (1987). Annotation copyright Book News, Inc. Portland, Or.
language: English
title: Hilbert Spaces and Operator Theory
titlecomplete: Hilbert Spaces and Operator Theory (Mathematics and its Applications, 51)
ratings_count: 1
publisher: Springer