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On a class of Model Hilbert Spaces | | Fritz Gesztesy
; Rudi Weikard
; Maxim Zinchenko
; | | Date: |
2 Nov 2011 | | Abstract: | We provide a detailed description of the model Hilbert space $L^2(bR;
dSigma; cK)$, were $cK$ represents a complex, separable Hilbert space, and
$Sigma$ denotes a bounded operator-valued measure. In particular, we show that
several alternative approaches to such a construction in the literature are
equivalent.
These spaces are of fundamental importance in the context of perturbation
theory of self-adjoint extensions of symmetric operators, and the spectral
theory of ordinary differential operators with operator-valued coefficients. | | Source: | arXiv, 1111.0645 | | Services: | Forum | Review | PDF | Favorites | |
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