Theorems of Katznelson-Tzafriri type for contractions
نویسندگان
چکیده
منابع مشابه
Katznelson-tzafriri Type Theorems for Individual Solutions of Evolution Equations
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For semigroups S = R+, Z+ and Z k +, we show that if T is a representation of S by contractions on a Hilbert space then inft∈S ‖T (t)f̂(T )‖ = sup {|f(λ)|, λ ∈ Spu(T, S)}, where f ∈ L (S) and Sp u (T, S) is the unitary spectrum of T with respect to S. When T is a representation of a suitable semigroup S by contractions on a Banach space, we give sharp conditions on Sp u (T, S) which guarantee th...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1990
ISSN: 0022-1236
DOI: 10.1016/0022-1236(90)90014-c