Spectral pictures of Aluthge transforms of operators |
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| Authors: | Il Bong Jung Eungil Ko Carl Pearcy |
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| Institution: | (1) Department of Mathematics, Kyungpook National University, 702-701 Taegu, Korea;(2) Department of Mathematics, Ewha Women's University, 120-750 Seoul, Korea;(3) Department of Mathematics, Texas A&M University, 77843 College Station, TX, USA |
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| Abstract: | In this paper we continue our study, begun in 12], of the relationships between an arbitrary operatorT on Hilbert space and its Aluthge transform
. In particular, we show that in most cases the spectral picture ofT coincides with that of
, and we obtain some interesting connections betweenT and
as a consequence. |
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| Keywords: | 47A15 47B20 |
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