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Published 1998 | public
Journal Article Open

Stable seminorms revisited


A seminorm S on an algebra A is called stable if for some constant σ > 0 , S(x^k) ≤ σS(x)^k for all x ∈ A and all k = 1, 2, 3,.... We call S strongly stable if the above holds with σ = 1 . In this note we use several known and new results to shed light on the concepts of stability. In particular, the interrelation between stability and similar ideas is discussed.

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© 1998 Element d.o.o.


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August 19, 2023
October 18, 2023