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An Invariant for Certain Operator Algebras

It is shown that the so-called principal function invariant, which is associated in a unitarily invariant way to operators with trace class self commutator TT(*) - T(*)T, is invariant under trace class perturbations of T and is an extension of the index of T-z to the whole plane. The connection of t...

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Bibliographic Details
Published in:Proc Natl Acad Sci U S A
Main Authors: Carey, Richard W., Pincus, Joel D.
Format: Artigo
Language:Inglês
Published: National Academy of Sciences 1974
Subjects:
Online Access:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC388361/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592156/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.71.5.1952
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