On the spectral characterization of entire operators with deficiency indices (1,1)

Abstract

For entire operators and entire operators in the generalized sense, we provide characterizations based on the spectra of their selfadjoint extensions. In order to obtain these spectral characterizations, we discuss the representation of a simple, regular, closed symmetric operator with deficiency indices (1,1) as a multiplication operator in a certain de Branges space.

arXiv comment22 pages; 1 section added; references added; typos corrected; inaccuracy in a proof corrected

References in corpus (1)

• Applications of M.G. Krein's Theory of Regular Symmetric Operators to Sampling Theory

Cited by in corpus (1)

• Completeness of rank one perturbations of normal operators with lacunary spectrum