Integral Operators In The Theory Of Induced Banach Representations
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Integral operators in the theory of induced Banach representations
Author: Irwin E. Schochetman
language: en
Publisher: American Mathematical Soc.
Release Date: 1978
Integral Operators in the Theory of Induced Banach Representations
Author: Irwin E. Schochetman
language: en
Publisher: American Mathematical Soc.
Release Date: 1978
The primary purpose of this memoir is to give a realization of the representation [italic]U of a locally compact group [italic]G, induced from a representation [italic]L of a closed subgroup [italic]H, on a continuous sum of Banach spaces over the coset space [italic]G/[italic]H.
Kernels and Integral Operators for Continuous Sums of Banach Spaces
Author: Irwin E. Schochetman
language: en
Publisher: American Mathematical Soc.
Release Date: 1978
The purpose of this memoir is twofold: to extend the notions of kernel and integral operator to the context of continuous sums of Banach spaces; and to extend to this setting, certain well-known conditions for an integral operator to be compact, Hilbert-Schmidt and trace-class.