Operators on Hilbert Space
V. S. SunderThis book's principle goals are (i) to present the spectral theorem as a statement on the existence of a unique continuous and measurable functional calculus, (ii) to present a proof without digressing into a course on the Gelfand theory of commutative Banach algebras, (iii) to introduce the reader to the basic facts concerning the various von Neumann-Schatten ideals, the compact operators, the trace-class operators and all bounded operators, and finally, (iv) to serve as a primer on the theory of bounded linear operators on separable Hilbert space.
Categories:
Year:
2014
Edition:
1, Draft
Publisher:
Institute of Mathematical Sciences, Madras, India
Language:
english
Pages:
118
Series:
Texts and Readings in Mathematics
File:
PDF, 672 KB
IPFS:
,
english, 2014