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Inessential operators in Banach spaces. (English) Zbl 0399.47040


MSC:

47L10 Algebras of operators on Banach spaces and other topological linear spaces
47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
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References:

[1] Caradus, S.R., Pfaffenberger, W.E., Yood, B.: Calkin algebras and algebras of operators on Banach spaces, New York 1974. · Zbl 0299.46062
[2] Gohberg, I.C., Markus, A.S., Feldman, I.A.,: Normally solvable operators and ideals associated with them (Russian), Bul. Akad. Stiince Rss Modoven.10 (76) (1960), 51–70.
[3] Heuser, H.: Funkitionalanalysis, Stuttgart 1975.
[4] Johnson, W.B., König, H., Maurey, B., Retherford, J.R.: Eigenvalues of p-summing and 1p -type operators in Banach spaces, J. Functional Analysis (to appear). · Zbl 0408.47020
[5] Kleinecke, D.: Almost-finite, compact and inessential operators, Proc. Amer. Math. Soc.14 (1963), 863–868. · Zbl 0117.34201 · doi:10.1090/S0002-9939-1963-0155197-5
[6] Prezeworska-Rolewicz, D., Rolewicz, S.: Equations in linear spaces, Warsaw 1968. · Zbl 0181.40501
[7] Pietsch, A.: Operator ideals, Berlin 1978. · Zbl 0399.47039
[8] Pietsch, A.: Distribution of eigenvalues and nuclearity, Banach Centre Publ.VIII (1980) (to appear). · Zbl 0428.47027
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