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Algebras Generated by a Contraction
Author(s) -
Seddighi Karim
Publication year - 1984
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-29.1.171
Subject(s) - contraction (grammar) , bounded function , hilbert space , mathematics , bounded operator , pure mathematics , combinatorics , algebra over a field , discrete mathematics , mathematical analysis , linguistics , philosophy
For a bounded linear operator T defined on the Hilbert space H let A ( T )( W ( T )) denote the weakstar (WOT) closed algebra generated by T and the identity. In their paper [ 2 ] S. Brown, B. Chevreau and C. Pearcy characterize the predual of A ( T ), where T is a contraction with rich spectrum. We shall generalize this result slightly and use a result of R. Olin and J. Thomson to show that for such a contraction A { T ) = W ( T ).