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Complex Symmetric Toeplitz Operators on the Unit Polydisk and the Unit Ball
- Source :
- Acta Mathematica Scientia. 40:35-44
- Publication Year :
- 2019
- Publisher :
- Springer Science and Business Media LLC, 2019.
-
Abstract
- In this article, we study complex symmetric Toeplitz operators on the Bergman space and the pluriharmonic Bergman space in several variables. Surprisingly, the necessary and sufficient conditions for Toeplitz operators to be complex symmetric on these two spaces with certain conjugations are just the same. Also, some interesting symmetry properties of complex symmetric Toeplitz operators are obtained.
- Subjects :
- Unit sphere
Mathematics::Functional Analysis
Pure mathematics
Mathematics::Operator Algebras
Mathematics::Complex Variables
General Mathematics
010102 general mathematics
General Physics and Astronomy
01 natural sciences
Toeplitz matrix
010101 applied mathematics
Bergman space
0101 mathematics
Symmetry (geometry)
Unit (ring theory)
Mathematics
Subjects
Details
- ISSN :
- 15729087 and 02529602
- Volume :
- 40
- Database :
- OpenAIRE
- Journal :
- Acta Mathematica Scientia
- Accession number :
- edsair.doi...........3008b6e12e78a996a5da8d75427a701c