A canonical form of complex skew-symmetric compact operators and applications to Toeplitz operators-Reference-Cited by-同舟云学术

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A canonical form of complex skew-symmetric compact operators and applications to Toeplitz operators

Published:2024-06-01 Issue:2 Volume:68 Page:
ISSN:0019-2082
Container-title:Illinois Journal of Mathematics
language:
Short-container-title:Illinois J. Math.

Author:

Dai Xin¹,Dong Xing-Tang²,Gao Yong-Xin³

Affiliation:

1. School of Mathematics, Tianjin University, Tianjin 300354, P.R. China

2. School of Mathematics, Tianjin University, Tianjin 300354, P.R. China dongxingtang@tju.edu.cn

3. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300371, P.R. China

Publisher

Duke University Press

Reference23 articles.

1. A. Brown and P. Halmos, Algebraic properties of Toeplitz operators, J. Reine Angew. Math. 213 (1964), 89–102.

2. S. Axler, S.-Y. A. Chang and D. Sarason, Products of Toeplitz operators, Integral Equations Operator Theory 1 (1978), no. 3, 285–309.

3. Y. Chen, H. Koo, and Y. J. Lee, Ranks of complex skew symmetric operators and applications to Toeplitz operators, J. Math. Anal. Appl. 425 (2015), no, 2, 734–747.

4. X. Ding and D. Zheng, Finite rank commutator of Toeplitz operators or Hankel perators, Houston J. Math. 34 (2008), no. 4, 1009–1119.

5. X. T. Dong, Y. X. Gao and Q. J. Hu, Complex symmetric Toeplitz operators on the unit polydisk, Int. J. Math. 34 (2023), no. 1, Paper No. 2250096.

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