Let 0 be a locally compact abelian ordered group. We say that 0 has the extension property if every operator valued continuous positive definite function on an interval of 0 has a positive definite extension to the whole group and we say that 0 has the commutant lifting property if a natural extensi
Commutativity of kth-order slant Toeplitz operators
✍ Scribed by Yufeng Lu; Chaomei Liu; Jun Yang
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 132 KB
- Volume
- 283
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, commutativity of k th -order slant Toeplitz operators are discussed. We show that commutativity and essential commutativity of two slant Toeplitz operators are the same. Also, we study k th -order slant Toeplitz operators on the Bergman space L 2 a (D) and give some commuting properties, algebraic and spectral properties of k th -order slant Toeplitz operators on the Bergman space.
📜 SIMILAR VOLUMES
## Abstract In this paper we study a general equation in right invertible operator of order one in the case when either resolving operator __I‐AR__ or __I‐RA__ has a generalized almost inverse only. Moreover, we give the positive answer to the following question: Does the left invertibility (right