Opening book details…
Can I read Operators Invariant Relative to a Completely Nonunitary Contraction on EtoBox?
Operators Invariant Relative to a Completely Nonunitary Contraction by H. Bercovici; D. Timotin is a Mathematics article available to read on EtoBox.
What is Operators Invariant Relative to a Completely Nonunitary Contraction about?
Given a contraction A on a Hilbert space H, an operator T on H is said to be A-invariant if T x, x = T Ax, Ax for every x ∈ H such that Ax = x . In the special case in which both defect indices of A are equal to 1, we show that every A-invariant operator is the compression to H of an unbounded linear transformation that commutes with the minimal unitary dilation of A. This result was proved by Sarason under the additional hypothesis that A is of class C 00 , leading to an intrinsic characterization of the truncated Toeplitz operators. We also adapt to our more general context other results about truncated Toeplitz operators.
Who reads Operators Invariant Relative to a Completely Nonunitary Contraction?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- H. Bercovici; D. Timotin
- Publisher
- Springer Science and Business Media LLC
- Published
- 2021
- Language
- EN
- Field
- Mathematics (Physical Sciences)