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math.FA2026
Model Theory for Operators Related to Square Roots of Normal Operators
Raul E. Curto, Thankarajan Prasad
In this paper we prove that a square root of a cyclic normal operator is unitarily equivalent to a block multiplication operator on a vector-valued Lebesgue space with a --norma…
math.FA2026
Hyponormal block Toeplitz operators with finite rank self-commutators
Mankunikuzhiyil Abhinand, Raul E. Curto, Thankarajan Prasad
In this paper, we identify a large class of hyponormal block Toeplitz operators whose self-commutators are of finite rank. \ Recall that an operator is hyponormal and $[T_φ^{…
math.FA2026★ 1 cited
Subnormal block Toeplitz operators
Mankunikuzhiyil Abhinand, Raul E. Curto, In Sung Hwang +2
In this paper we consider the subnormality of block Toeplitz operators , where is an matrix-valued function on the unit circle of the form $$ Φ=QΦ^…