Maps on Grassmann spaces preserving the minimal principal angle

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Maps on Grassmann spaces preserving the minimal principal angle

Šemrl, Peter

Let ▫$n$▫ be a positive integer and ▫$H$▫ a Hilbert space. The description of the general form of bijective maps on the set of ▫$n$▫-dimensional subspaces of ▫$H$▫ preserving the maximal principal ... angle has been obtained recently. This is a generalization of Wigner’s unitary-antiunitary theorem. In this paper we will obtain another extension of Wigner’s theorem in which the maximal principal angle is replaced by the minimal one. Moreover, in this case we do not need the bijectivity assumption.

Source: Acta scientiarum mathematicarum. - ISSN 0001-6969 (Vol. 90, iss. 1/2, May 2024, str. 109-122)

Type of material - article, component part ; adult, serious

Publish date - 2024

Language - english

COBISS.SI-ID - 189049859

Link(s):
https://link.springer.com/article/10.1007/s44146-023-00093-8
Repository of the University of Ljubljana – RUL
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Topics
Grassmann space | Hilbert space | orthogonal projection | principal angles

Author	Šemrl, Peter
Title	Maps on Grassmann spaces preserving the minimal principal angle
Publication date	2023-07-04
COBISS.SI-ID	189049859
Publication version in repository	Publisher's version
Publication licence	Creative Commons Attribution 4.0 International
Embargo	Immediate publication for public

Project(s) from which the publication was funded

Title	Acronym	Project ID	Funder
Izomorfizmi, izometrije in ohranjevalci		J1-2454-2020	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Algebra in njena uporaba		P1-0288-2022	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije

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https://link.springer.com/article/10.1007/s44146-023-00093-8
https://repozitorij.uni-lj.si/IzpisGradiva.php?id=156055

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source: Acta scientiarum mathematicarum. - ISSN 0001-6969 (Vol. 90, iss. 1/2, May 2024, str. 109-122)

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Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Šemrl, Peter	05953

Source: Personal bibliographies and: SICRIS

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