Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 434, Issue 1, Pages 20-34Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2015.09.004
Keywords
Complex symmetric operator; Toeplitz operator; Normal operator
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Funding
- Basic Science Research Program through the National Research Foundation of Korea (NRF) - Korea government (MSIP) [2009-0083521]
- Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education [2009-0093827]
- Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education, Science and Technology [2012R1A1A3006841]
- National Research Foundation of Korea [2012R1A1A3006841] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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In this paper, we give a characterization of a complex symmetric Toeplitz operator T-phi on the Hardy space H-2. Moreover, if T-phi is a complex symmetric Toeplitz operator, we provide a necessary and sufficient condition for T-phi to be normal. Finally, we investigate these T-phi with finite symbols. (C) 2015 Elsevier Inc. All rights reserved.
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