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Absolutely (r,p,q)-summing inclusions

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Michels C.

Studia Mathematica

2007

tom 178

nr 1

19-45

As a continuation of the work of Bennett and Carl for the case q = ∞, we consider absolutely (r,p,q)-summing inclusion maps between Minkowski sequence spaces, 1 ≤ p,q ≤ 2. Using these results we deduce parts of the limit orders of the corresponding operator ideals and an inclusion theorem between the ideals of (u,s,t)-nuclear and of absolutely (r,p,q)-summing operators, which gives a new proof of a result of Carl on Schatten class operators. Furthermore, we also consider inclusions between arbitrary Banach sequence spaces and inclusions between finite-dimensional Schatten classes. Finally, applications to Hilbert numbers of inclusions are given.

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1 Studia Mathematica

1 Michels C.

1 2007

Wyniki wyszukiwania

Absolutely (r,p,q)-summing inclusions