Topics in Real and Functional Analysis
by Gerald Teschl
Publisher: Universitaet Wien 2016
Number of pages: 486
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.
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by Jaydeb Sarkar - arXiv
An introduction of Hilbert modules over function algebras. The theory of Hilbert modules is presented as combination of commutative algebra, complex geometry and Hilbert spaces and its applications to the theory of n-tuples of commuting operators.
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Introduction to Jordan algebras of operators on Hilbert spaces and their abstract counterparts. It develops the theory of Jordan operator algebras to a point from which the theory of C*- and von Neumann algebras can be generalized to Jordan algebras.
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