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A remark to a theorem of Yu. A. Abramovich
Date
2004-01-01
Author
Emelyanov, Eduard
Metadata
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A remarkable theorem due to Abramovich (1988) states that any surjective positive isometry on a Banach lattice has a positive inverse. In this note we discuss a renorming problem for Banach lattices and show that the theorem cannot be generalized to the case of the doubly power bounded positive operators.
Subject Keywords
positive isometry
,
doubly power bounded operator
,
renorming problem
URI
https://hdl.handle.net/11511/94925
Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
DOI
https://doi.org/10.1090/s0002-9939-03-07111-9
Collections
Department of Mathematics, Article
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E. Emelyanov, “A remark to a theorem of Yu. A. Abramovich,”
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
, vol. 132, no. 3, pp. 781–782, 2004, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/94925.