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• W2952804834 abstract "We say that an operator $T in B(H)$ is complex symmetric if there exists a conjugate-linear, isometric involution $C:Hto H$ so that $T = CT^*C$. We prove that binormal operators, operators that are algebraic of degree two (including all idempotents), and large classes of rank-one perturbations of normal operators are complex symmetric. From an abstract viewpoint, these results explain why the compressed shift and Volterra integration operator are complex symmetric. Finally, we attempt to describe all complex symmetric partial isometries, obtaining the sharpest possible statement given only the data $(dim ker T, dim ker T^*)$." @default.
• W2952804834 created "2019-06-27" @default.
• W2952804834 creator A5075881134 @default.
• W2952804834 creator A5086016562 @default.
• W2952804834 date "2009-07-22" @default.
• W2952804834 modified "2023-09-27" @default.
• W2952804834 title "Some new classes of complex symmetric operators" @default.
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