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Factorization theorems for some scales of operator ideals. (English) Zbl 0455.47032

MSC:
47L10 Algebras of operators on Banach spaces and other topological linear spaces
41A46 Approximation by arbitrary nonlinear expressions; widths and entropy
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
41A35 Approximation by operators (in particular, by integral operators)
46M35 Abstract interpolation of topological vector spaces
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References:
[1] Carl, Lecture Notes in Math. 609 pp 21– (1977)
[2] Heinrich, J. Functional Analysis 35 pp 397– (1980)
[3] Johnson, J. Functional Analysis 32 pp 353– (1979)
[4] s-Zahlen und Eigenwertverteilungen von Operatoren in Banachräumen, Thesis, Bonn 1977.
[5] Approximation of functions of several variables and imbedding theorems, Moscow 1969 (Russian) and Berlin-Heidelberg-New York 1975 (Englisch). · Zbl 0185.37901
[6] Pietsch, Rev. Roumaine Math. Pures Appl. 8 pp 427– (1963)
[7] Operator ideals, Berlin 1978. · Zbl 0399.47039
[8] Interpolation theory, function spaces, differential operators, Berlin 1978.
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