Operator Extensions, Interpolation of Functions and Related Topics de A. Gheondea

Operator Extensions, Interpolation of Functions and Related Topics: Operator Theory: Advances and Applications, cartea 61

A. Gheondea

D. Timotin

F.H. Vasilescu

This careful selection of participant contributions reflects the focus of the 14th International Conference on Operator Theory, held in Timisoara (Romania) in June 1992, centering on the problems of extensions of operators and their connections with interpolation of analytic functions and with the spectral theory of differential operators. Other topics concern operator inequalities, spectral theory in general spaces and operator theory in Krein spaces.

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Cuprins

On Some Operator Colligations and Associated Reproducing Kernel Spaces.- On the Spectra of Selfadjoint Extensions.- On the Spectrum of Singular Nonselfadjoint Differential Operators.- The Commutant Lifting Theorem for Contractions on Kre?n Spaces.- A Method for Constructing Invariant Subspaces for some Operators on Kre?n Spaces.- Applications of the Furuta Inequality to Operator Inequalities and Norm Inequalities Preserving some Orders.- Quasi-contractions on Kre?n Spaces.- Antitonicity of the Inverse and J-Contractivity.- Unitary Extensions of a System of Commuting Isometric Operators.- Some Generalizations of Classical Interpolation Problems.- The Kobayashi Distance between two Contractions.- The Category of Quotient Bornological Spaces.