Uniform factorization for p-compact sets of p-compact linear operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:437

Article

Caliskan, Erhan¹  Keten, Aysegul^2,3 

[1] Istanbul Univ, Fac Sci, Dept Math, TR-34134 Istanbul, Turkey

[2] Necmettin Erbakan Univ, Fac Sci, Dept Math & Comp Sci, TR-42090 Meram, Konya, Turkey

[3] Yildiz Tech Univ, Fac Sci & Arts, Dept Math, TR-34210 Istanbul, Turkey

关键词: Banach spaces;    p-Compact sets;    p-Compact linear operators;    Factorization;    Tensor product;    Homogeneous polynomials;   

DOI  :  10.1016/j.jmaa.2016.01.030

来源: Elsevier

【 摘 要 】

Obtaining a factorization of p-compact linear operators via universal Banach spaces, and using the lifting property of quotient maps for p-compact sets we prove a factorization result for relatively r-compact subsets of p-compact operators, where r >= 2, 1 <= p <= r < infinity. To apply our results to homogeneous polynomials, in particular, we show that relatively p-compact subsets of a Banach space of p-compact operators are collectively p-compact. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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