Notes on unbounded Toeplitz operators in Segal-Bargmann spaces

• Autorzy: D. Cichoń
• Języki publikacji: EN

Abstrakty

EN

Relations between different extensions of Toeplitz operators $T_φ$ are studied. Additive properties of closed Toeplitz operators are investigated, in particular necessary and sufficient conditions are given and some applications in case of Toeplitz operators with polynomial symbols are indicated.

Słowa kluczowe

EN

unbounded operators; Hilbert spaces of entire functions; reproducing kernels

Kategorie tematyczne

• 46E20: Hilbert spaces of continuous, differentiable or analytic functions
• 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996
• Tom: 64
• Numer: 3
• Strony: 227-235

Daty

wydano

1996

otrzymano

1995-05-18

poprawiono

1995-12-20

Twórcy

autor

D. Cichoń

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Bibliografia

• [1] F. A. Berezin, Vick and anti-Vick symbols of operators, Mat. Sb. 86 (1971), 578-610 (in Russian).
• [2] J. Janas, Toeplitz and Hankel operators on Bargmann spaces, Glasgow Math. J. 30 (1988), 315-323.
• [3] J. Janas, Unbounded Toeplitz operators in the Bargmann-Segal space, Studia Math. 99 (1991), 87-99.
• [4] J. Janas and J. Stochel, Unbounded Toeplitz operators in the Segal-Bargmann space. II, J. Funct. Anal. 126 (1994), 418-447.
• [5] D. J. Newman and H. S. Shapiro, Fischer spaces of entire functions, in: Entire Functions and Related Parts of Analysis, J. Korevaar (ed.), Proc. Sympos. Pure Math. 11, Amer. Math. Soc., Providence, 1968, 360-369.
• [6] J. Janas and J. Stochel, private communication.