NDLI: Generalized induced norms

Content Provider	Springer Nature Link
Author	Hejazian, S. Mirzavaziri, M. Moslehian, M. S.
Copyright Year	2007
Abstract	Let ‖·‖ be a norm on the algebra ℳn of all n × n matrices over ℂ. An interesting problem in matrix theory is that “Are there two norms ‖·‖1 and ‖·‖2 on ℂn such that ‖A‖ = max\|‖Ax‖2: ‖x‖1 = 1} for all A ∈ ℳn?” We will investigate this problem and its various aspects and will discuss some conditions under which ‖·‖1 = ‖·‖2.
Starting Page	127
Ending Page	133
Page Count	7
File Format	PDF
ISSN	00114642
Journal	Czechoslovak Mathematical Journal
Volume Number	57
Issue Number	1
e-ISSN	15729141
Language	English
Publisher	Kluwer Academic Publishers-Consultants Bureau
Publisher Date	2007-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	induced norm generalized induced norm algebra norm the full matrix algebra unitarily invariant generalized induced congruent Mathematics Analysis Convex and Discrete Geometry Ordinary Differential Equations Mathematical Modeling and Industrial Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Generalized induced norms