Complement preserving operators

W. K. Nicholson; K. Varadarajan

doi:10.1007/bf01876621

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Periodica Mathematica Hungarica

Volume/Issue:: Volume 30: Issue 3

Complement preserving operators

Authors:

W. K. Nicholson

W. K. Nicholson Department of Mathematics & Statistics University of Calgary T2N 1N4 Calgary Alberta Canada

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K. Varadarajan

K. Varadarajan Department of Mathematics & Statistics University of Calgary T2N 1N4 Calgary Alberta Canada

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Pages:: 225–232

Online Publication Date:: 03 Jul 2005

Publication Date:: 01 Jun 1995

Article Category:: Research Article

DOI:: https://doi.org/10.1007/bf01876621

Keywords:: Primary 15A04; Secondary 16D60; orthogonal complement

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An operatorT:V?V on a real inner product space is called complement preserving if, wheneverU is aT-invariant subspace ofV the orthogonal complementU^? is alsoT-invariant. In this note we obtain some results on such operators.

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Periodica Mathematica Hungarica

Print ISSN:: 0031-5303

Online ISSN:: 1588-2829

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Periodica Mathematica Hungarica
Language	English
Size	B5
Year of Foundation	1971
Volumes per Year	2
Issues per Year	4
Founder	Bolyai János Matematikai Társulat - János Bolyai Mathematical Society
Founder's Address	H-1055 Budapest, Hungary Falk Miksa u. 12.I/4.
Publisher	Akadémiai Kiadó Springer Nature Switzerland AG
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0031-5303 (Print)
ISSN	1588-2829 (Online)