A note on uniformly bounded Hilbert space semigroups
نویسندگان
چکیده
منابع مشابه
On uniformly bounded spherical functions in Hilbert space
Let G be a commutative group, written additively, with a neutral element 0, and let K be a finite group. Suppose that K acts on G via group automorphisms G 3 a 7→ ka ∈ G, k ∈ K. Let H be a complex Hilbert space and let L (H) be the algebra of all bounded linear operators on H. A mapping u : G→ L (H) is termed a K-spherical function if it satisfies (i) |K|−1 ∑ k∈K u(a+kb) = u(a)u(b) for any a, b...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1980
ISSN: 0022-247X
DOI: 10.1016/0022-247x(80)90231-0