ON THE ITERATED MEAN TRANSFORMS OF OPERATORS
- 주제(키워드) Weighted mean transform , Duggal transform , polar decomposition , invariant subspaces
- 주제(기타) Mathematics
- 설명문(일반) [Jung, Sungeun] Hankuk Univ Foreign Studies, Dept Math, Yongin 17035, Gyeonggi Do, South Korea; [Ko, Eungil] Ewha Womans Univ, Dept Math, Seoul 03760, South Korea; [Lee, Mee-Jung] Ewha Womans Univ, Inst Math Sci, Seoul 03760, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 gold
- 발행기관 ELEMENT
- 발행년도 2020
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000168810
- 본문언어 영어
- Published As https://dx.doi.org/10.7153/mia-2020-23-49
초록/요약
Let T = U vertical bar T vertical bar be the polar decomposition of an operator T is an element of L(H). For given s,t >= 0, we say that (T) over cap (s,t) := sU vertical bar T vertical bar + t vertical bar T vertical bar U is the weighted mean transform of T. In this paper, we study properties of the k-th iterated weighted mean transform (T) over cap ((k))(s,t) of T = U vertical bar T vertical bar when U is unitary. In particular, we give the polar decomposition of such (T) over cap ((k))(s,t) and investigate its applications. Finally, we consider the iterated weighted mean transforms of a weighted shift.
more