On the Dilation of Truncated Toeplitz Operators
- 주제(키워드) Dilation of truncated Toeplitz operator , Hyponormal operator , Normal operator , Selfadjoint operator
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Birkhauser Verlag AG
- 발행년도 2015
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000119113
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s11785-015-0482-7
초록/요약
An operator (Formula presented.) is called the dilation of a truncated Toeplitz operator if for two symbols (Formula presented.) and an inner function u, (Formula presented.)holds for (Formula presented.) where (Formula presented.) denotes the orthogonal projection of (Formula presented.) onto the model space (Formula presented.) and (Formula presented.) In this paper, we study properties of the dilation of truncated Toeplitz operators on (Formula presented.). In particular, we provide conditions for the dilation of truncated Toeplitz operators to be normal. As some applications, we give several examples of such operators. © 2015 Springer Basel
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