Tuesday, October 23, 2012

1104.4765 (Luis O. Silva et al.)

The spectra of selfadjoint extensions of entire operators with
deficiency indices (1,1)
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Luis O. Silva, Julio H. Toloza
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.
View original: http://arxiv.org/abs/1104.4765

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