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

Access to Document

10.1007/s10958-007-0414-9

Cite this

@article{b2ccf2ca7cd84acca3a8367755709f9e,

title = "Rank permutability and additive operators preserving related rank product conditions",

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.",

author = "Alieva, {A. A.} and Guterman, {A. E.}",

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

year = "2007",

month = jan,

doi = "10.1007/s10958-007-0414-9",

language = "אנגלית",

volume = "140",

pages = "177--185",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "2",

}

TY - JOUR

T1 - Rank permutability and additive operators preserving related rank product conditions

AU - Alieva, A. A.

AU - Guterman, A. E.

N1 - Funding Information: This work was partially supported by grants NSh-1910.2003.01 and INTAS YSF 03-55-1919.

PY - 2007/1

Y1 - 2007/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33845733675&partnerID=8YFLogxK

U2 - 10.1007/s10958-007-0414-9

DO - 10.1007/s10958-007-0414-9

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:33845733675

SN - 1072-3374

VL - 140

SP - 177

EP - 185

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 2

ER -

Rank permutability and additive operators preserving related rank product conditions

Abstract

Bibliographical note

Funding

Access to Document

Other files and links

Fingerprint

Cite this