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Published December 17, 2001 | public
Journal Article

Not all quadrative norms are strongly stable


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.

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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