Botelho, Fernanda and Jamison, James and Molnár, Lajos (2013) Algebraic reflexivity of isometry groups and automorphism groups of some operator structures. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, inpres. pp. 123. ISSN 0022247X

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Abstract
We establish the algebraic re exivity of three isometry groups of operator structures: The group of all surjective isometries on the unitary group, the group of all surjective isometries on the set of all positive invertible operators equipped with the Thompson metric, and the group of all surjective isometries on the general linear group of B(H), the operator algebra over a complex infinite dimensional separable Hilbert space H. We show that those isometry groups coincide with certain groups of automorphisms of corresponding structures and hence we also obtain the re exivity of some automorphism groups.
Item Type:  Article 

Uncontrolled Keywords:  Hilbert space operators; operator structures; surjective isometries; automorphisms; algebraic re exivity of transformation groups. 
Subjects:  Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra 
SWORD Depositor:  MTMT SWORD 
Depositing User:  MTMT SWORD 
Date Deposited:  27 Jun 2013 08:34 
Last Modified:  05 Jul 2013 12:38 
URI:  http://real.mtak.hu/id/eprint/5720 
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