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Not all quadrative norms are strongly stable

Goldberg, Moshe and Guralnick, Robert and Luxemburg, W. A. J. (2001) Not all quadrative norms are strongly stable. Indagationes Mathematicae, 12 (4). pp. 469-476. ISSN 0019-3577.

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A norm N on an algebra A is called quadrative if N(x^2) ≤ N(x)^2 for all x ∈ A, and strongly stable if N(x^k) ≤ N(x)^k for all x ∈ A and all k = 2, 3, 4…. Our main purpose in this note is to show that not all quadrative norms are strongly stable.

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Additional Information:© 2001 Elsevier. Under an Elsevier user license. Communicated by Prof. M.S. Keane at the meeting of October 30, 2001. Research sponsored in part by the Fund for the Promotion of Research at the Technion, grant 100-091. Research partially supported by NSF grant DMS-9970305.
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Subject Keywords:Norms; Matrix algebras; Quadrativity; Stability; Strong stability
Issue or Number:4
Classification Code:AMS 2000 Mathematics Subject Class$cation: 15A60
Record Number:CaltechAUTHORS:20181003-135909088
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90101
Deposited By: George Porter
Deposited On:06 Oct 2018 23:49
Last Modified:03 Oct 2019 20:22

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