DOI QR코드

DOI QR Code

OPERATORS FROM CERTAIN BANACH SPACES TO BANACH SPACES OF COTYPE q ≥ 2

Cho, Chong-Man

  • Published : 2002.01.01

Abstract

Suppose { $X_{n}$}$_{n=1}$$^{\infty}$ sequence of finite dimensional Banach spaces and suppose that X is either a closed subspace of (equation omitted) or a closed subspace of (equation omitted) with p>2. We show that every bounded linear operator from X to a Banach space Y of cotype q(2$\leq$q〈p) is compact.t.t.

Keywords

compact operator;cotype q, $^\ell$-sum;Rademacher functions

References

  1. Functional Analysis (Second Edition) W. Rudin
  2. Classical Banach Spaces I J. Lindenstrauss;L. Tzafriri
  3. Linear Operators v.I N. Dunford;J. Schwartz
  4. Classical Banach Spaces II