This article is cited in 7 papers

Pitt's theorem for the Lorentz and Orlicz sequence spaces

E. A. Jausekle, È. F. Oja

Tartu University

Abstract: Let $L(X,Y)$ be the Banach space of all continuous linear operators from $X$ to $Y$, and let $K(X,Y)$ be the subspace of compact operators. Some versions of the classical Pitt theorem (if $p>q$, then $K(\ell_p,\ell_q)=L(\ell_p,\ell_q)$) for subspaces of Lorentz and Orlicz sequence spaces are established.

UDC: 517.98

Received: 28.08.1995

DOI: 10.4213/mzm1478

 English version: Mathematical Notes, 1997, 61:1, 16–21

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