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On unbounded subnormal operators |
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| Authors: | Arvind B Patel Subhash J Bhatt |
| Institution: | 1. Department of Mathematics, Sardar Patel University, 388 120, Vallabh Vidyanagar, India |
| Abstract: | A minimal normal extension of unbounded subnormal operators is established and characterized and spectral inclusion theorem is proved. An inverse Cayley transform is constructed to obtain a closed unbounded subnormal operator from a bounded one. Two classes of unbounded subnormals viz analytic Toeplitz operators and Bergman operators are exhibited. |
| Keywords: | Unbounded subnormal operator Cayley transform Toeplitz and Bergman operators minimal normal extension |
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