On Some Analytic Operator Functions in the Theory of Hermitian Operators

Perch MelikAdamyan

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

A densely defined Hermitian operatorA0with equal defect numbers is con-sidered. Presentable by means of resolvents of a certain maximal dissipative oraccumulative extensions ofA0, bounded linear operators acting from some defectsubspaceNγto arbitrary otherNλare investigated. With their aid are discussedcharacteristic and Weyl functions. A family of Weyl functions is described, as-sociated with a given self-adjoint extension ofA0. The specific property of Weylfunction’s factors enabled to obtain a modified formulas of von Neumann. Interms of characteristic and Weyl functions of suitably chosen extensions the re-solvent of Weyl function is presented explicitly.

Author(s)

Related Articles

ON UNIQUENESS OF HOLOMORPHIC AND BOUNDED OUTSIDE THE CLOSED LOGARITHMIC SECTOR FUNCTIONS REPRESENTABLE BY LACUNARY POWER SERIES

COMPUTER DETECTING AND PROCESSING OF THE SIGNALS OF A FLAT-COIL ABSOLUTE-POSITION SENSOR BASED SEISMIC DETECTOR

ON q-LATTICES AND q-ALGEBRAS

ON INCREASING HAZARD RATE OF WAITING TIME IN THE ||1|∞MG MODEL

ON DISTRIBUTION’S CONSTANT SLOWLY VARYING COMPONENT

On Some Analytic Operator Functions in the Theory of Hermitian Operators

Subscribe to TheGufo Newsletter​

Subscribe to TheGufo Newsletter