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Matematicheskie Zametki, 1997, Volume 61, Issue 1, Pages 18–25
DOI: https://doi.org/10.4213/mzm1478 (Mi mzm1478) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Pitt's theorem for the Lorentz and Orlicz sequence spaces

E. A. Jausekle, È. F. Oja

Tartu University
Full-text PDF (194 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm1478
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.
Received: 28.08.1995
English version:
Mathematical Notes, 1997, Volume 61, Issue 1, Pages 16–21
DOI: https://doi.org/10.1007/BF02355003
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: E. A. Jausekle, È. F. Oja, “Pitt's theorem for the Lorentz and Orlicz sequence spaces”, Mat. Zametki, 61:1 (1997), 18–25; Math. Notes, 61:1 (1997), 16–21
Citation in format AMSBIB
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\jour Math. Notes
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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