Generalized Symmetry Transformations on Quaternionic Indefinite Inner Product Spaces: An Extension of Quaternionic Version of Wigner’s Theorem

被引：0

作者：

Peter Šemrl

机构：

[1] University of Ljubljana,Department of Mathematics

来源：

Communications in Mathematical Physics | 2003年 / 242卷

关键词：

Product Space; Symmetry Transformation; Generalize Symmetry; Quaternionic Version; Generalize Symmetry Transformation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Uhlhorn’s extension of Wigner’s unitary-antiunitary theorem has been recently generalized by Molnár to indefinite inner product spaces. We present the quaternionic version of this result.

引用

页码：579 / 584

页数：5

共 20 条

[1] Generalized symmetry transformations on quaternionic indefinite inner product spaces: An extension of quaternionic version of Wigner's theorem
Semrl, P
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2003, 242 (03) : 579 - 584
[2] Orthogonality preserving transformations on indefinite inner product spaces:: Generalization of Uhlhorn's version of Wigner's theorem
Molnár, L
JOURNAL OF FUNCTIONAL ANALYSIS, 2002, 194 (02) : 248 - 262
[3] Basic classes of matrices with respect to quaternionic indefinite inner product spaces
Alpay, D.
Ran, A. C. M.
Rodman, L.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 416 (2-3) : 242 - 269
[4] Generalization of Wigner's Unitary-Antiunitary Theorem for Indefinite Inner Product Spaces
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Communications in Mathematical Physics, 2000, 210 : 785 - 791
[5] Generalization of Wigner's unitary-antiunitary theorem for indefinite inner product spaces
Molnár, L
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2000, 210 (03) : 785 - 791
[6] The Correct Formulation of Gleason’s Theorem in Quaternionic Hilbert Spaces
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[7] The Correct Formulation of Gleason's Theorem in Quaternionic Hilbert Spaces
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[8] Nonnegative generalized inverses in indefinite inner product spaces
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FILOMAT, 2013, 27 (04) : 659 - 670
[9] A Wigner-type theorem on symmetry transformations in Banach spaces
Molnár, L
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2001, 58 (1-2): : 231 - 239
[10] SYMMETRY TRANSFORMATIONS IN INDEFINITE METRIC-SPACES - A GENERALIZATION OF WIGNERS THEOREM
VANDENBROEK, PM
PHYSICA A, 1984, 127 (03): : 599 - 612

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