Classification of linear operators satisfying (Au, v) = (u, A(r)v) or (Au, A(r)v) = (u, v) on a vector space with indefinite scalar product

Borges, Victor Senoguchi; Kashuba, Iryna; Sergeichuk, Vladimir V.; Sodre, Eduardo Ventilari; Zaidan, Andre

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Classification of linear operators satisfying (Au, v) = (u, A(r)v) or (Au, A(r)v) = (u, v) on a vector space with indefinite scalar product

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Author(s):	Borges, Victor Senoguchi ^[1] ; Kashuba, Iryna ^[1] ; Sergeichuk, Vladimir V. ^[2] ; Sodre, Eduardo Ventilari ^[1] ; Zaidan, Andre ^[1] Total Authors: 5
Affiliation:	^[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, SP - Brazil ^[2] Inst Math, Tereshchenkivska 3, UA-3 Kiev - Ukraine Total Affiliations: 2
Document type:	Journal article
Source:	Linear Algebra and its Applications; v. 611, p. 118-134, FEB 15 2021.
Web of Science Citations:	0
Abstract
We classify all linear operators A : V -> V satisfying (Au, v) = (u, A(r)v) and all linear operators satisfying (Au, A(r)v) = (u, v) with r = 2, 3, ... on a complex, real, or quaternion vector space with scalar product given by a nonsingular symmetric, skew-symmetric, Hermitian, or skew-Hermitian form. (C) 2020 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	18/24089-4 - Classification problems for matrices, matrix spaces and tensors
Grantee:	Vyacheslav Futorny
Support Opportunities:	Research Grants - Visiting Researcher Grant - International

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