Cosine families of operators have the SVEP
نویسندگان
چکیده
Let (C(t))t?R be a strongly continuous cosine function of operators on Banach space X with infinitesimal generator A. In this paper, we prouve that A has the SVEP if and only C(t) for all t ? R C(t0) some t0 R.
منابع مشابه
Consistent in invertibility operators and SVEP
If S(X ) ⊂ B(X ), where B(X ) denotes the algebra of operators on a Banach space X , then A ∈ B(X ) is S(X ) consistent if AB ∈ S(X ) ⇐⇒ BA ∈ S(X ) for every B ∈ B(X ). SVEP is a powerful tool in determining the S(X ) consistency of operators A for various choices of the subset S(X ).
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ژورنال
عنوان ژورنال: Filomat
سال: 2023
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2302387b