APPLICATIONS OF THE POLAR DECOMPOSITION OF AN OPERATOR
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概要
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"An operator ＄T＄ means a bounded linear operator on a complex Hilbert space ＄H＄. In our previous paper [6], we have an equivalent condition under which an operator ＄T_{1}＄ doubly commutes with another ＄T_{2}＄ by an elementary method. As an application of this result, we show correlation between binormal operators and operators satisfying ＄[T_{1}^{*}T_{1}, T{2}T_{2}^{*}]=0＄ and moreover more precise estimation than the results of Campbell, Gupta and Bala on binormal operators.Also we show conditions on an idempotent operator implying projection and necessary and sufficient conditions under which partial isometry is direct sum of an isometry and zero."
- Yokohama City Universityの論文
- 1984-00-00
Yokohama City University | 論文
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