Isometric Equivalence of Certain Operators on Banach Spaces |
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Authors: | James E. Jamison |
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Affiliation: | (1) Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152, USA |
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Abstract: | A pair of operators on a Banach space X are isometrically equivalent if they are intertwined by a surjective isometry of X. We investigate the isometric equivalence problem for pairs of operators on specific types of Banach spaces. We study weighted shifts on symmetric sequence spaces, elementary operators acting on an ideal I of Hilbert space operators, and composition operators on the Bloch space. This last case requires an extension of known results about surjective isometries of the Bloch space. |
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Keywords: | Primary 47A05 Secondary 47B37, 47B49 |
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