Rank of Truncated Toeplitz Operators
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DOI: 10.1007/s11785-016-0571-2
Abstract: We establish concrete rank formulas for a class of finite rank truncated Toeplitz operators on the model spaces $$K^2_u:= H^2 \ominus uH^2$$Ku2:=H2⊖uH2 in terms of their symbol functions. We also establish some rank inequalities for… read more here.
Keywords: rank truncated; toeplitz operators; truncated toeplitz;
Invertibility, Fredholmness and kernels of dual truncated Toeplitz operators
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DOI: 10.1007/s43037-020-00077-8
Abstract: Asymmetric dual truncated Toeplitz operators acting between the orthogonal complements of two (eventually different) model spaces are introduced and studied. They are shown to be equivalent after extension to paired operators on $L^2(\mathbb T) \oplus… read more here.
Keywords: dual truncated; invertibility fredholmness; toeplitz operators; truncated toeplitz ... See more keywords
The commutant and invariant subspaces for dual truncated Toeplitz operators
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DOI: 10.1007/s43037-020-00102-w
Abstract: Dual truncated Toeplitz operators on the orthogonal complement of the model space $$K_u^2(=H^2 \ominus uH^2)$$ with u nonconstant inner function are defined to be the compression of multiplication operators to the orthogonal complement of $$K_u^2$$… read more here.
Keywords: dual truncated; commutant invariant; toeplitz operators; truncated toeplitz ... See more keywords
On rank-one asymmetric truncated Toeplitz operators on finite-dimensional model spaces
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DOI: 10.1016/j.jmaa.2017.05.033
Abstract: Abstract In this paper we present some consequences of the description of matrix representations of asymmetric truncated Toeplitz operators acting between finite-dimensional model spaces. We then describe all rank-one asymmetric truncated Toeplitz operators acting between… read more here.
Keywords: finite dimensional; dimensional model; model spaces; toeplitz operators ... See more keywords