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2008

California State University, San Bernardino

Hilbert space.

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Operations In Hilbert Space, Dennis Michael Gumaer Jan 2008

Operations In Hilbert Space, Dennis Michael Gumaer

Theses Digitization Project

This thesis reviews some of the major topics in elementary Hilbert space theory. The theory of operators is developed by providing details regarding several types of operators, in particular compact operators. This study of compact operators is the start of the refinement of bounded linear operators to those which are also members of the Schatten p-class operators.