EAN: 9783319920603

COMPACT TEXTBOOKS IN MATHEMATICS A PRIMER ON ...

The book concisely presents the fundamental aspects of the theory of operators on Hilbert
spaces. The topics covered include functional calculus and spectral theorems  compact operators
trace class and Hilbert-Schmidt operators  self-adjoint extensions of symmetric operators  and
one-parameter groups of operators.The exposition of the material on unbounded operators is
based on a novel tool  called the z-transform  which provides a way to encode full information
about unbounded operators in bounded ones  hence making many technical aspects of the theory
less involved.

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