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


Caliskan E. , KETEN A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.437, ss.1058-1069, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 437 Konu: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.jmaa.2016.01.030
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.1058-1069

Özet

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.