On normed products of operator ideals which contain L2 as a factor
On normed products of operator ideals which contain L2 as a factor
We investigate quasi-Banach operator ideal products (A ? B,A ? B) which contain (L2,L2) as a factor. In particular, we ask for conditions which guarantee that A ? B is even a norm if each factor of the product is a 1-Banach ideal. In doing so, we reveal the strong influence of the existence of such a norm in relation to the accessibility of the product ideal and the structure of its factors.
61-70
Oertel, Frank
5026be9a-a787-477f-bf94-23c72bd08ef5
March 2003
Oertel, Frank
5026be9a-a787-477f-bf94-23c72bd08ef5
Oertel, Frank
(2003)
On normed products of operator ideals which contain L2 as a factor.
Archiv der Mathematik, 80 (1), .
(doi:10.1007/s000130300006).
Abstract
We investigate quasi-Banach operator ideal products (A ? B,A ? B) which contain (L2,L2) as a factor. In particular, we ask for conditions which guarantee that A ? B is even a norm if each factor of the product is a 1-Banach ideal. In doing so, we reveal the strong influence of the existence of such a norm in relation to the accessibility of the product ideal and the structure of its factors.
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Published date: March 2003
Organisations:
Mathematical Sciences
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Local EPrints ID: 347169
URI: http://eprints.soton.ac.uk/id/eprint/347169
ISSN: 0003-889X
PURE UUID: 7b4203c3-7b14-44d4-9d12-55d7a33fbe22
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Date deposited: 18 Jan 2013 10:09
Last modified: 14 Mar 2024 12:45
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Author:
Frank Oertel
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