Title of article
A triangle inequality in Hilbert modules over matrix algebras Original Research Article
Author/Authors
Douglas R. Farenick، نويسنده , , Panayiotis J. Psarrakos، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
11
From page
57
To page
67
Abstract
The matrix-valued triangle inequalities of R.C. Thompson [Pacific J. Math. 66 (1976) 285–290] are extended to sequences of matrices with real, complex, or quaternion entries. These new matrix inequalities, in turn, imply a natural formulation of the triangle inequality which is valid in certain Hilbert modules over real or complex semisimple matrix algebras.
Keywords
Triangle inequality , Matrix-valued triangle inequality , Hilbert module
Journal title
Linear Algebra and its Applications
Serial Year
2002
Journal title
Linear Algebra and its Applications
Record number
823425
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