Research Article

C-symmetric Toeplitz operators on Hardy spaces

Volume: 7 Number: 3 September 15, 2024
EN

C-symmetric Toeplitz operators on Hardy spaces

Abstract

We characterize all the Toeplitz operators that are complex symmetric with respect to a class of conjugations induced by a permutation. Our results provide an affirmative answer to a conjecture from a paper of Chattopadhyay et al. (2023) [1].

Keywords

References

  1. A. Chattopadhyaya, S. Das, C. Pradhan and S. Sarkar: Characterization of C-symmetric Toeplitz operators for a class of conjugations in Hardy spaces, Linear Multilinear Algebra, 71 (2023), 2026–2048.
  2. R. G. Douglas: Banach Algebra Techniques in Operator Theory, Graduate Texts in Mathematics, 2nd ed., Springer (1998).
  3. M. T. Garayev, M. Gürdal: Remarks on the zero Toeplitz product problem in the Bergman and Hardy spaces, Turkish J. Math., 42 (2018), 1504–1508.
  4. M. T. Garayev, M. Gürdal, S. Saltan and U. Yamancı: dist-formulas and Toeplitz operators, Ann. Funct. Anal., 6 (2015), 221–226.
  5. S. R. Garcia, E. Prodan and M. Putinar: Mathematical and physical aspects of complex symmetric operators, J. Phys. A, 47 (2014), 54 pp.
  6. S. R. Garcia, M. Putinar: Complex symmetric operators and applications, Trans. Amer. Math. Soc., 358 (2006), 1285–1315.
  7. S. R. Garcia, M. Putinar: Complex symmetric operators and applications. II, Trans. Amer. Math. Soc., 359 (2007), 3913–3931.
  8. S. R. Garcia, W. Wogen: Some new classes of complex symmetric operators, Trans. Amer. Math. Soc., 362 (2010), 6065–6077.

Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Early Pub Date

August 27, 2024

Publication Date

September 15, 2024

Submission Date

June 23, 2024

Acceptance Date

August 22, 2024

Published in Issue

Year 2024 Volume: 7 Number: 3

APA
Lo, C. O., & Loh, A. W. K. (2024). C-symmetric Toeplitz operators on Hardy spaces. Constructive Mathematical Analysis, 7(3), 126-133. https://doi.org/10.33205/cma.1503726
AMA
1.Lo CO, Loh AWK. C-symmetric Toeplitz operators on Hardy spaces. CMA. 2024;7(3):126-133. doi:10.33205/cma.1503726
Chicago
Lo, Ching On, and Anthony Wai Keung Loh. 2024. “C-Symmetric Toeplitz Operators on Hardy Spaces”. Constructive Mathematical Analysis 7 (3): 126-33. https://doi.org/10.33205/cma.1503726.
EndNote
Lo CO, Loh AWK (September 1, 2024) C-symmetric Toeplitz operators on Hardy spaces. Constructive Mathematical Analysis 7 3 126–133.
IEEE
[1]C. O. Lo and A. W. K. Loh, “C-symmetric Toeplitz operators on Hardy spaces”, CMA, vol. 7, no. 3, pp. 126–133, Sept. 2024, doi: 10.33205/cma.1503726.
ISNAD
Lo, Ching On - Loh, Anthony Wai Keung. “C-Symmetric Toeplitz Operators on Hardy Spaces”. Constructive Mathematical Analysis 7/3 (September 1, 2024): 126-133. https://doi.org/10.33205/cma.1503726.
JAMA
1.Lo CO, Loh AWK. C-symmetric Toeplitz operators on Hardy spaces. CMA. 2024;7:126–133.
MLA
Lo, Ching On, and Anthony Wai Keung Loh. “C-Symmetric Toeplitz Operators on Hardy Spaces”. Constructive Mathematical Analysis, vol. 7, no. 3, Sept. 2024, pp. 126-33, doi:10.33205/cma.1503726.
Vancouver
1.Ching On Lo, Anthony Wai Keung Loh. C-symmetric Toeplitz operators on Hardy spaces. CMA. 2024 Sep. 1;7(3):126-33. doi:10.33205/cma.1503726