Applications of polar decompositions of idempotent and 2-nilpotent operators |
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| Institution: |
a Faculty of Science, Department of Mathematical Information Science, Tokyo University of Science, Shinjukuku, Tokyo 162-8601, Japan |
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| Abstract: | An operator means a bounded linear operator on a complex Hilbert space. Using two polar decompositions of idempotent and 2-nilpotent operators, we shall study numerical radii of these two operators and finally we shall discuss two operator transformations, one of which is the generalized Aluthge transformation and another is an extension of the operator transformation by Patel-Tanahashi-Uchiyama. |
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| Keywords: | Polar decomposition Idempotent operator 2-Nilpotent operator Aluthge transformation Operator transformation |
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