The spectra of selfadjoint extensions of entire operators with deficiency indices (1,1)

2011/04/25 by Luis O. Silva, Silva, Luis O., Julio H. Toloza +1
Computer Science · Mathematics · #46E22 #47A25 #47B25 #FOS: Physical sciences #Holomorphic and Operator Theory #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1104.4765

openalex publication_date 2011/04/25 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We give necessary and sufficient conditions for real sequences to be the spectra of selfadjoint extensions of an entire operator whose domain may be non-dense. For this spectral characterization we use de Branges space techniques and a generalization of Krein's functional model for simple, regular, closed, symmetric operators with deficiency indices (1,1). This is an extension of our previous work in which similar results were obtained for densely defined operators.

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