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Extensions of positive projections and averaging operators

✍ Scribed by Abdelmajid Triki

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
592 KB
Volume
153
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

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We itre concerned with existence of extensions of positive linear operators be-I t v w i i ordered vector spaces which take maximal possible values on a given set of \wit ors. We eatablish a criterion (Theorem) which partially generalizes a similar twiilt of [2] about positive additive set functions

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Considered is the problem of adjusting a positive definite operator in order to obtain a partially zero inverse. Using generalized determinants the problem is settled for operator matrices with Hilbert Schmidt off diagonal entries. For Fredholm integral operators an approximation result is obtained.

Extensions of Pure States and Projection
Extensions of Pure States and Projections of Norm One
✍ R.J. Archbold πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 159 KB

We show that the extension property for pure states of a C\*-subalgebra B of a C\*-algebra A leads to the existence of a projection of norm one R: A Γ„ B in the case where B is liminal with Hausdorff primitive ideal space. Furthermore, R is given by a ``Dixmier process'' in which the averaging is eff