Titlebook: Bounded Integral Operators on L 2 Spaces; Paul Richard Halmos,Viakalathur Shankar Sunder Book 1978 Springer-Verlag Berlin Heidelberg 1978

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Energy transfer in concentrated systems,re cannot be one. Intuition seems to suggest that boundedness is a question of size: to be bounded is to be “small”, or in any event not too large, and every kernel that is smaller than a bounded one is itself bounded. Since kernels are complex-valued functions, “size” presumably refers to absolute

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Luminescence in Electrochemistryty operator on ..(ℝ.) (which is not an integral operator) and the tensor product of the identity operator on ..(ℤ.) with a projection of rank 1 on ..(II) (which is an integral operator). What is the essential difference between these two kinds of examples?

原来

Luminescence of Biopolymers and Cellsators? The question refers to unitary equivalence; in precise terms, it asks for a characterization of those operators . on ..(.) for which there exists a unitary operator . on ..(.) such that .* is integral.

肥料

Apparatus for Bioluminescence Measurements,ad of the existential one. In precise terms: under what conditions on an operator . on ..(.) does it happen that .* is an integral operator for every unitary . on ..(.)? When it does happen, the operator . will be called a . integral operator on ..(.).