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Generalization of some classical results to the case of the modified Banach-Mazur distance. / Bakharev, F. L.

In: Journal of Mathematical Sciences, Vol. 141, No. 5, 01.03.2007, p. 1517-1525.

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

Harvard

Bakharev, FL 2007, 'Generalization of some classical results to the case of the modified Banach-Mazur distance', Journal of Mathematical Sciences, vol. 141, no. 5, pp. 1517-1525. https://doi.org/10.1007/s10958-007-0057-x

APA

Bakharev, F. L. (2007). Generalization of some classical results to the case of the modified Banach-Mazur distance. Journal of Mathematical Sciences, 141(5), 1517-1525. https://doi.org/10.1007/s10958-007-0057-x

Vancouver

Bakharev FL. Generalization of some classical results to the case of the modified Banach-Mazur distance. Journal of Mathematical Sciences. 2007 Mar 1;141(5):1517-1525. https://doi.org/10.1007/s10958-007-0057-x

Author

Bakharev, F. L. / Generalization of some classical results to the case of the modified Banach-Mazur distance. In: Journal of Mathematical Sciences. 2007 ; Vol. 141, No. 5. pp. 1517-1525.

BibTeX

@article{5182fd396797426cb403e975a09a3316,
title = "Generalization of some classical results to the case of the modified Banach-Mazur distance",
abstract = "The paper is devoted to generalization of some classical results concerning the Banach-Mazur distance to the modified Banach-Mazur distance. We establish the existense of a space that is uniformly distant in the modified Banach-Mazur distance from all spaces with a small basis constant and of a space that is distant in the modified metric from all spaces admitting a complex structure. The existense of a real space that admits two complex structures and is distant in the sense of the complex modified distance is established. The existense of a space having large generalized volume ratio with all of its subspaces of proportional dimension is proved. Bibliography: 10 titles.",
author = "Bakharev, {F. L.}",
year = "2007",
month = mar,
day = "1",
doi = "10.1007/s10958-007-0057-x",
language = "English",
volume = "141",
pages = "1517--1525",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Generalization of some classical results to the case of the modified Banach-Mazur distance

AU - Bakharev, F. L.

PY - 2007/3/1

Y1 - 2007/3/1

N2 - The paper is devoted to generalization of some classical results concerning the Banach-Mazur distance to the modified Banach-Mazur distance. We establish the existense of a space that is uniformly distant in the modified Banach-Mazur distance from all spaces with a small basis constant and of a space that is distant in the modified metric from all spaces admitting a complex structure. The existense of a real space that admits two complex structures and is distant in the sense of the complex modified distance is established. The existense of a space having large generalized volume ratio with all of its subspaces of proportional dimension is proved. Bibliography: 10 titles.

AB - The paper is devoted to generalization of some classical results concerning the Banach-Mazur distance to the modified Banach-Mazur distance. We establish the existense of a space that is uniformly distant in the modified Banach-Mazur distance from all spaces with a small basis constant and of a space that is distant in the modified metric from all spaces admitting a complex structure. The existense of a real space that admits two complex structures and is distant in the sense of the complex modified distance is established. The existense of a space having large generalized volume ratio with all of its subspaces of proportional dimension is proved. Bibliography: 10 titles.

UR - http://www.scopus.com/inward/record.url?scp=33846990138&partnerID=8YFLogxK

U2 - 10.1007/s10958-007-0057-x

DO - 10.1007/s10958-007-0057-x

M3 - Article

AN - SCOPUS:33846990138

VL - 141

SP - 1517

EP - 1525

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 34905987