Maps on operators strongly preserving sharp order

M. A. Efimov; A. E. Guterman

doi:10.7153/oam-09-43

Maps on operators strongly preserving sharp order

M. A. Efimov, A. E. Guterman

Lomonosov Moscow State University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We discuss the structure of additive transformations on B(H) that are strongly monotone with respect to the ≤^# -order and characterize them under the assumption of bijectivity. We also characterize bijective transformations on the sets of linear combinations of idempotents in B(H) that are strongly monotone with respect to the ≤^# -order.

Original language	English
Pages (from-to)	711-731
Number of pages	21
Journal	Operators and Matrices
Volume	9
Issue number	3
DOIs	https://doi.org/10.7153/oam-09-43
State	Published - 1 Sep 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© EEMENT, Zagreb.

Keywords

Group inverse
Hilbert space
Monotone transformations

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10.7153/oam-09-43

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Maps on operators strongly preserving sharp order

Abstract

Bibliographical note

Keywords

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