On operators which factor through lpor c0
نویسندگان
چکیده
منابع مشابه
On C0-Group of Linear Operators
In this paper we consider C0-group of unitary operators on a Hilbert C*-module E. In particular we show that if A?L(E) be a C*-algebra including K(E) and ?t a C0-group of *-automorphisms on A, such that there is x?E with =1 and ?t (?x,x) = ?x,x t?R, then there is a C0-group ut of unitaries in L(E) such that ?t(a) = ut a ut*.
متن کاملon c0-group of linear operators
in this paper we consider c0-group of unitary operators on a hilbert c*-module e. in particular we show that if a?l(e) be a c*-algebra including k(e) and ?t a c0-group of *-automorphisms on a, such that there is x?e with =1 and ?t (?x,x) = ?x,x t?r, then there is a c0-group ut of unitaries in l(e) such that ?t(a) = ut a ut*.
متن کاملC0-semigroups of linear operators on some ultrametric Banach spaces
C0-semigroups of linear operators play a crucial role in the solvability of evolution equations in the classical context. This paper is concerned with a brief conceptualization of C0-semigroups on (ultrametric) free Banach spaces E. In contrast with the classical setting, the parameter of a given C0-semigroup belongs to a clopen ball Ωr of the ground field K. As an illustration, we will discuss...
متن کاملHypercyclic Behaviour of Operators in a Hypercyclic C0-Semigroup
Let {Tt}t≥0 be a hypercyclic strongly continuous semigroup of operators. Then each Tt (t > 0) is hypercyclic as a single operator, and it shares the set of hypercyclic vectors with the semigroup. This answers in the affirmative a natural question concerning hypercyclic C0-semigroups. The analogous result for frequent hypercyclicity is also obtained.
متن کاملHolomorphic families of forms, operators and C0-semigroups
If z 7→ az is a holomorphic function with values in the sectorial forms in a Hilbert space, then the associated operator valued function z 7→ Az is resolvent holomorphic. We give a proof of this result of Kato, on the basis of the Lax-Milgram lemma. We also show that the C0-semigroups Tz generated by −Az depend holomorphically on z. MSC 2010: 47A07, 47B44, 47D06
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2006
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm176-2-5