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An operator ideal in connection with Gaussian measures and applications to nuclearity of integral operator. (English) Zbl 0464.47014

MSC:

47L10 Algebras of operators on Banach spaces and other topological linear spaces
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
47Gxx Integral, integro-differential, and pseudodifferential operators
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References:

[1] Beauzamy, B.: Propri?t?s geometriques des espaces d’interpolation. S?minaire Maurey-Schwartz 1974-1975, Exp. 14, Ecole Polytechnique, Paris
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[11] Kantorovi?, L.V., Akilov, G.P.: Functional analysis, 2nd edition. Moscow: Nauka 1977 (Russian)
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[14] Kwapie?, S., Szyma?ski, B.: Some remarks on Gaussian measures in Banach spaces. Probab. Math. Statist.1, 59-65 (1980)
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[16] Maurey, B., Pisier, G.: S?ries de variables aleatories vectorielles independantes et propri?t?s geometriques des espaces de Banach. Studia Math.58, 45-90 (1976) · Zbl 0344.47014
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