| Tartalom: |
http://real.mtak.hu/5720/ |
| Archívum: |
MTA Könyvtár |
| Gyűjtemény: |
Status = Published
Type = Article
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| Cím: |
Algebraic reflexivity of isometry groups and automorphism groups of some operator structures
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| Létrehozó: |
Botelho, Fernanda
Jamison, James
Molnár, Lajos
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| Kiadó: |
Elsevier
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| Dátum: |
2013
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| Téma: |
QA Mathematics / matematika
QA72 Algebra / algebra
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| Tartalmi leírás: |
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.
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| Típus: |
Article
PeerReviewed
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| Formátum: |
text
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| Azonosító: |
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. 1-23. ISSN 0022-247X
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