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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Ferd Williams,B. Baron,S. P. Varma not — how can the ones that are be identified? Emphasis: since the question pertains to the special category of .. spaces, not to the more abstract category of Hilbert spaces, the answer must be of the same kind. The answer cannot be expressed in unitarily invariant language, because that would imp

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Kernels,ℝ, ℝ., and II. Explanation: ℤ is the set of all integers, ℤ. is the set of nonnegative integers, and ℤ. is the set of integers between 1 and . inclusive (. = 1, 2, 3,...); in all these cases the measure is the counting measure defined on the class of all subsets; ℝ is the set of all real numbers, ℝ.

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Characterization,ators? 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.

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