Generalization of the Newman-Shapiro isometry theorem and Toeplitz operators. II

• Autorzy: Dariusz Cichoń
• Języki publikacji: EN

Abstrakty

EN

The Newman-Shapiro Isometry Theorem is proved in the case of Segal-Bargmann spaces of entire vector-valued functions (i.e. summable with respect to the Gaussian measure on ℂⁿ). The theorem is applied to find the adjoint of an unbounded Toeplitz operator $T_{φ}$ with φ being an operator-valued exponential polynomial.

Kategorie tematyczne

• 46E40: Spaces of vector- and operator-valued functions
• 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: Studia Mathematica
• Rocznik: 2002
• Tom: 150
• Numer: 2
• Strony: 175-188

Daty

wydano

2002

Twórcy

autor

Dariusz Cichoń

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

Identyfikatory

DOI

10.4064/sm150-2-6