Constructing non-compact operators into 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*.
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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*.
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We show that if the space `∞/c0 contains an isometric copy of every function space over a first countable compactum or every function space over a Corson copactum of weight not exceeding the continuum then every subset of R belongs to the σfield generated by sets of the form A1×A2.We prove a similar result about isomorphic rather than isometric embeddings into `∞/c0 in terms of the σ-field of s...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2010
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm201-1-5