Erratum to: Algebraic Order Bounded Disjointness Preserving Operators and Strongly Diagonal Operators
نویسندگان
چکیده
منابع مشابه
A Strongly Diagonal Power of Algebraic Order Bounded Disjointness Preserving Operators
An order bounded disjointness preserving operator T on an Archimedean vector lattice is algebraic if and only if the restriction of Tn! to the vector sublattice generated by the range of Tm is strongly diagonal, where n is the degree of the minimal polynomial of T and m is its ‘valuation’.
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In this paper, we characterize the class of orthogonality preserving operators on an infinite-dimensional Hilbert space $H$ as scalar multiples of unitary operators between $H$ and some closed subspaces of $H$. We show that any circle (centered at the origin) is the spectrum of an orthogonality preserving operator. Also, we prove that every compact normal operator is a strongly orthogo...
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Suppose that K is a closed, total cone in a real Banach space X, that A :X!X is a bounded linear operator which maps K into itself, and that A« denotes the Banach space adjoint of A. Assume that r, the spectral radius of A, is positive, and that there exist x ! 1 0 and m& 1 with Am(x ! ) ̄ rmx ! (or, more generally, that there exist x ! a (®K ) and m& 1 with Am(x ! )& rmx ! ). If, in addition, A...
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ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2013
ISSN: 0378-620X,1420-8989
DOI: 10.1007/s00020-012-2028-y