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Unbounded Hermitian operators and relative reproducing kernel Hilbert space

Palle Jorgensen (2010)

Open Mathematics

We study unbounded Hermitian operators with dense domain in Hilbert space. As is known, the obstruction for a Hermitian operator to be selfadjoint or to have selfadjoint extensions is measured by a pair of deficiency indices, and associated deficiency spaces; but in practical problems, the direct computation of these indices can be difficult. Instead, in this paper we identify additional structures that throw light on the problem. We will attack the problem of computing deficiency spaces for a single...

Universal interpolating sequences on some function spaces

Bahmann Yousefi, B. Tabatabaie (2005)

Czechoslovak Mathematical Journal

Let H ( K ) be the Hilbert space with reproducing kernel K . This paper characterizes some sufficient conditions for a sequence to be a universal interpolating sequence for H ( K ) .

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