Invariants of the block tensor product
type: Item
instance of: scholarly article
title: Invariants of the block tensor product
zbMATH Open document ID: 0794.15017
DOI: 10.1016/0024-3795(94)90505-3
published in: Linear Algebra and its Applications
publication date: 1994-05-13T00:00:00Z
review text: The authors consider the following problem: Let \(X_ i\), \(i=1,2\), be vector spaces over \(\mathbb{C};Y_ i\) subspaces of \(X_ i\), \(i=1,2\): and \(f_ i\): \(Y_ i\to X_ i\), \(i=1,2\), linear maps defined on a subspace. They characterize the invariant of block similarity of \(f_ 1\otimes f_ 2\): \(Y_ 1\otimes Y_ 2\to X_ 1\otimes X_ 2\) in terms of the block similarity invariants of \(f_ 1\) and \(f_ 2\). The paper contains sections on Brunowsky numbers of the block direct product and elementary divisors of the block direct product.
Mathematics Subject Classification ID: 15A69
zbMATH DE Number: 553977
zbMATH Keywords: block tensor product
zbMATH Keywords: linear maps
zbMATH Keywords: invariant of block similarity
zbMATH Keywords: Brunowsky numbers
zbMATH Keywords: block direct product
zbMATH Keywords: elementary divisors
author: M. Asunción Beitia
author: Ion Zaballa
reviewed by: Yueh-er Kuo
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)90505-3
OpenAlex ID: W2003248516
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description: scientific article; zbMATH DE number 553977