Eigenvectors and maximal vectors in Boolean vector spaces-Reference-Cited by-同舟云学术

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Eigenvectors and maximal vectors in Boolean vector spaces

Published:1975 Issue:2 Volume:47 Page:323-328
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Sinzdak Ronald L.

Abstract

In this paper it is shown that every idempotent, self-adjoint linear endomorphism in a finite-dimensional normed Boolean vector space has its norm as an eigenvalue. A completely algebraic proof is also given for the fact that every linear endomorphism in such a space possesses a maximal vector.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-047-02/S0002-9939-1975-0357452-0/S0002-9939-1975-0357452-0.pdf

Reference4 articles.

1. Linear transformations in a Boolean vector space;Jagannadham, P. V.;Math. Ann.,1966

2. The eigenvalue problem for Boolean matrices;Rutherford, D. E.;Proc. Roy. Soc. Edinburgh Sect. A,1963

3. Boolean vetor spaces. I;Subrahmanyam, N. V.;Math. Z.,1964

4. Boolean vector spaces. II;Subrahmanyam, N. V.;Math. Z.,1965

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Lattice vector spaces and linear transformations;Asian-European Journal of Mathematics;2019-04

2. Boolean inner-product spaces and Boolean matrices;Linear Algebra and its Applications;2009-07

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