4 papers · 1 filter
Unitary equivalence of proper extensions of a symmetric operator and the Weyl function
Seppo Hassi, Mark Malamud, Vadim Mogilevskii
Let be a densely defined simple symmetric operator in $\gH$, let $Π=\bt$ be a boundary triplet for and let $M(\cd)$ be the corresponding Weyl function. It is known that t…
Symmetric operators with real defect subspaces of the maximal dimension. Applications to differential operators
Vadim Mogilevskii
Let $\gH$ be a Hilbert space and let be a simple symmetric operator in $\gH$ with equal deficiency indices . We show that if, for all in an open interva…
Minimal spectral functions of an ordinary differential operator
Vadim Mogilevskii
Let be a formally selfadjoint differential expression of an even order on the interval and let be the corresponding minimal operator. By using…
On generalized resolvents and characteristic matrices of differential operators
Vadim Mogilevskii
The main objects of our considerations are differential operators generated by a formally selfadjoint differential expression of an even order on the interval $[0,b> (b\leq \infty)…