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PreprintCC BY 4.0arXiv

Block Toeplitz Operators, Matrix Valued Truncated Toeplitz operators, and Conjugations

Abstract

In this paper, we characterize the complex symmetry of block Toeplitz operators on the Hardy-Hilbert space H2(E) with conjugation C_{u,λ}, where E is a finite dimensional Hilbert space. We also extend the application of this conjugation to matrix valued truncated Toeplitz operators.

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BibTeX
@misc{khan2026block,
  title = {{Block Toeplitz Operators, Matrix Valued Truncated Toeplitz operators, and Conjugations}},
  author = {Rewayat Khan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32170},
  eprint = {2610.32170},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32170},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Block Toeplitz Operators, Matrix Valued Truncated Toeplitz operators, and Conjugations
AU  - Rewayat Khan
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32170
UR  - https://arxiv.org/abs/2610.32170
AB  - In this paper, we characterize the complex symmetry of block Toeplitz operators on the Hardy-Hilbert space H2(E) with conjugation C_{u,λ}, where E is a finite dimensional Hilbert space. We also extend the application of this conjugation to matrix valued truncated Toeplitz operators.
ER  -