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On complex symmetric Toeplitz operators
- Source :
- Journal of Mathematical Analysis and Applications. 434:20-34
- Publication Year :
- 2016
- Publisher :
- Elsevier BV, 2016.
-
Abstract
- In this paper, we give a characterization of a complex symmetric Toeplitz operator T φ on the Hardy space H 2 . Moreover, if T φ is a complex symmetric Toeplitz operator, we provide a necessary and sufficient condition for T φ to be normal. Finally, we investigate these T φ with finite symbols.
- Subjects :
- Mathematics::Functional Analysis
Applied Mathematics
010102 general mathematics
010103 numerical & computational mathematics
Hardy space
Characterization (mathematics)
Shift operator
01 natural sciences
Toeplitz matrix
Algebra
symbols.namesake
Multiplication operator
symbols
Normal operator
0101 mathematics
Analysis
Mathematics
Toeplitz operator
Subjects
Details
- ISSN :
- 0022247X
- Volume :
- 434
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Analysis and Applications
- Accession number :
- edsair.doi...........5caeee4a9ae00a923feeeb53b96d46fc
- Full Text :
- https://doi.org/10.1016/j.jmaa.2015.09.004