On projective equivalence of invariant subspace lattices

Michael J McAsey; Paul S Muhly

doi:10.1016/0024-3795(82)90251-8

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On projective equivalence of invariant subspace lattices

Journal article

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Peer reviewed

On projective equivalence of invariant subspace lattices

Michael J McAsey and Paul S Muhly

Linear algebra and its applications, Vol.43(C), pp.167-179

1982

DOI: 10.1016/0024-3795(82)90251-8

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Abstract

For i = 1,2, let A i be a linear transformation on a complex vector space and let σ be a lattice isomorphism from the invariant subspace lattice of A 1 onto the invariant subspace lattice of A 2. We determine the conditions under which σ is implemented by a linear or conjugate linear transformation (or a sum of these two kinds).

Details

Title: Subtitle: On projective equivalence of invariant subspace lattices
Creators: Michael J McAsey - Bradley University Peoria, Illinois 61625, USA
Paul S Muhly - Department of Mathematics and Statistics University of Iowa Iowa City, Iowa 52242, USA
Resource Type: Journal article
Publication Details: Linear algebra and its applications, Vol.43(C), pp.167-179
DOI: 10.1016/0024-3795(82)90251-8
ISSN: 0024-3795
eISSN: 1873-1856
Publisher: Elsevier Inc
Language: English
Date published: 1982
Academic Unit: Statistics and Actuarial Science; Mathematics
Record Identifier: 9984083235602771

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