Rank permutability and additive operators preserving related rank product conditions

A. A. Alieva; A. E. Guterman

doi:10.1007/s10958-007-0414-9

Rank permutability and additive operators preserving related rank product conditions

A. A. Alieva, A. E. Guterman

Lomonosov Moscow State University

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

1 Scopus citations

Abstract

We characterize bijective additive operators preserving rank product conditions of a certain type. We also show that if an additive operator preserves the corresponding condition strongly, then it is automatically nonsingular.

Original language	English
Pages (from-to)	177-185
Number of pages	9
Journal	Journal of Mathematical Sciences
Volume	140
Issue number	2
DOIs	https://doi.org/10.1007/s10958-007-0414-9
State	Published - Jan 2007
Externally published	Yes

Bibliographical note

Funding Information:
This work was partially supported by grants NSh-1910.2003.01 and INTAS YSF 03-55-1919.

Funding

This work was partially supported by grants NSh-1910.2003.01 and INTAS YSF 03-55-1919.

Funders	Funder number
INTAS	YSF 03-55-1919

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10.1007/s10958-007-0414-9

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Rank permutability and additive operators preserving related rank product conditions

Abstract

Bibliographical note

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