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Invariant subspaces for banach space operators with a multiply connected spectrum
Date
2007-07-01
Author
Yavuz, Onur
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We consider a multiply connected domain Omega = D \U (n)(j= 1) (B) over bar(lambda(j), r(j)) where D denotes the unit disk and (B) over bar(lambda(j), r(j)) subset of D denotes the closed disk centered at lambda(j) epsilon D with radius r(j) for j = 1,..., n. We show that if T is a bounded linear operator on a Banach space X whose spectrum contains delta Omega and does not contain the points lambda(1),lambda(2),...,lambda(n), and the operators T and r(j)( T -lambda I-j)(-1) are polynomially bounded, then there exists a nontrivial common invariant subspace for T* and ( T -lambda I-j)(*-1).
Subject Keywords
Algebra and Number Theory
,
Analysis
URI
https://hdl.handle.net/11511/63656
Journal
INTEGRAL EQUATIONS AND OPERATOR THEORY
DOI
https://doi.org/10.1007/s00020-007-1496-y
Collections
Department of Mathematics, Article
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O. Yavuz, “Invariant subspaces for banach space operators with a multiply connected spectrum,”
INTEGRAL EQUATIONS AND OPERATOR THEORY
, pp. 433–446, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63656.