by Feng Tian, Palle E.T. Jorgensen
Publisher: arXiv 2010
Number of pages: 98
Notes from a course taught by Palle Jorgensen in the fall semester of 2009. The course covered central themes in functional analysis and operator theory, with an emphasis on topics of special relevance to such applications as representation theory, harmonic analysis, mathematical physics, and stochastic integration.
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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.
by Palle Jorgensen, Feng Tian - arXiv
This book at the beginning graduate level will help students with primary interests elsewhere to acquire a facility with tools of a functional analytic flavor, say in harmonic analysis, numerical analysis, stochastic processes, or in physics.
by Vaughan F. R. Jones - UC Berkeley Mathematics
The purpose of these notes is to provide a rapid introduction to von Neumann algebras which gets to the examples and active topics with a minimum of technical baggage. The philosophy is to lavish attention on a few key results and examples.
by J. Cigler, V. Losert, P.W. Michor - Marcel Dekker Inc
This book is the final outgrowth of a sequence of seminars about functors on categories of Banach spaces (held 1971 - 1975) and several doctoral dissertations. It has been written for readers with a general background in functional analysis.