Shift invariance and reflexivity of compressions of multiplication operators
-
M. Cristina Câmara
,
Kamila Kliś-Garlicka
,
Bartosz Łanucha
and
Marek Ptak
Abstract
The properties of being shift invariant and being reflexive or transitive in the case of the space of (asymmetric) truncated Toeplitz operators, and the space of (asymmetric) dual truncated operators are investigated. Most of the results obtained are new even for the symmetric case. A characterization of asymmetric dual truncated Toeplitz operators is also given.
Funding source: Fundação para a Ciência e a Tecnologia
Award Identifier / Grant number: UID/MAT/04459/2020
Funding statement: The work of the first author was partially supported by FCT/Portugal through grant number UID/MAT/04459/2020. The research of the second and the fourth authors was financed by the Ministry of Science and Higher Education of the Republic of Poland.
References
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Approximating the group algebra of the lamplighter by infinite matrix products
- Shift invariance and reflexivity of compressions of multiplication operators
- Non-invariant deformations of left-invariant complex structures on compact Lie groups
- On the gaps between consecutive primes
- Trivial cup products in bounded cohomology of the free group via aligned chains
- Iwasawa invariants for elliptic curves over ℤp-extensions and Kida's formula
- Estimates of covering type and minimal triangulations based on category weight
- Coherent categorical structures for Lie bialgebras, Manin triples, classical r-matrices and pre-Lie algebras
- Stable vector bundles on generalized Kummer varieties
- Dirac series for complex 𝐸7
- On order of vanishing of characteristic elements
- On transitivity-like properties for torsion-free Abelian groups
- Reverse convolution inequalities for Lebedev–Skalskaya transforms
- Existence of weak solutions to a general class of diffusive shallow medium type equations
Articles in the same Issue
- Frontmatter
- Approximating the group algebra of the lamplighter by infinite matrix products
- Shift invariance and reflexivity of compressions of multiplication operators
- Non-invariant deformations of left-invariant complex structures on compact Lie groups
- On the gaps between consecutive primes
- Trivial cup products in bounded cohomology of the free group via aligned chains
- Iwasawa invariants for elliptic curves over ℤp-extensions and Kida's formula
- Estimates of covering type and minimal triangulations based on category weight
- Coherent categorical structures for Lie bialgebras, Manin triples, classical r-matrices and pre-Lie algebras
- Stable vector bundles on generalized Kummer varieties
- Dirac series for complex 𝐸7
- On order of vanishing of characteristic elements
- On transitivity-like properties for torsion-free Abelian groups
- Reverse convolution inequalities for Lebedev–Skalskaya transforms
- Existence of weak solutions to a general class of diffusive shallow medium type equations
