A remark to a theorem of Yu. A. Abramovich

Date

2004-01-01

Author

Emelyanov, Eduard

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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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Citation Formats

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.