If \(\mathscr{H}\) is a Hilbert space of holomorphic functions on the unit ball \(B_{N}\) in \(\mathbf{C}^{N}\) and \(\varphi\) is a non-constant holomorphic map of the unit ball into itself, the composition operator \(C_{\varphi}\) is the operator on \(\mathscr{H}\) defined by \(C_{\varphi} f=f \ci
The spectra of some Toeplitz operators
โ Scribed by Matthew Lee; Donald Sarason
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 821 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we give a necessary and sufficient condition for T a 1 T a 2 } } } T a n = T a 1 a 2 } } } a n where the T a i 's are Toeplitz operators on the Hardy space of the unit disk. We then show that T a 1 T a 2 T a 3 T a 4 T a 5 T a 6 =0 if and only if one of a i is identically zero. A criter
In this paper we completely characterize the compact semi-commutator of two Toeplitz operators with bounded pluriharmonic symbols on the Bergman space of the polydisk. Several necessary and sufficient conditions are obtained for the commutator of two Toeplitz operators with bounded pluriharmonic sym