TOEPLITZ OPERATORS ASSOCIATED WITH SEMIFINITE VON NEUMANN ALGEBRA |
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| Institution: | Cheng YAN;Turdebek N.BEKJAN;College of Mathematics and System Sciences, Xinjiang University; |
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| Abstract: | Let H2(M) be a noncommutative Hardy space associated with semifinite von Neumann algebra M, we get the connection between numerical spectrum and the spectrum of Toeplitz operator Tt acting on H2(M), and the norm of Toeplitz operator Tt is equivalent to ||t|| when t is hyponormal operator in M. |
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