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Projections in the Convex Hull of Surjective Isometries
  Published:2010-05-11
 Printed: Sep 2010
Canadian Mathematical Bulletin
  • Fernanda Botelho,
    Department of Mathematical Sciences, The University of Memphis, Memphis, TN, USA
  • James Jamison,
    Department of Mathematical Sciences, The University of Memphis, Memphis, TN, USA
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Abstract

We characterize those linear projections represented as a convex combination of two surjective isometries on standard Banach spaces of continuous functions with values in a strictly convex Banach space.
Keywords: isometry, convex combination of isometries, generalized bi-circular projections isometry, convex combination of isometries, generalized bi-circular projections
MSC Classifications: 47A65, 47B15, 47B37 show english descriptions Structure theory
Hermitian and normal operators (spectral measures, functional calculus, etc.)
Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) 47A65 - Structure theory
47B15 - Hermitian and normal operators (spectral measures, functional calculus, etc.)
47B37 - Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
 
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