11 citations · 20 across the 12 of their papers we have counts for
14 papers
Shorting, parallel addition and form sums of nonnegative selfadjoint linear relations
Yu. M. Arlinskii
We extend the operations of shorting and parallel addition from the cone of bounded nonnegative selfadjoint operators in a Hilbert space to the set of all nonnegative selfadjoint l…
Everything is possible for the domain intersection dom T \cap dom T*
Yury Arlinskii, Christiane Tretter
This paper shows that for the domain intersection $\dom T\cap\dom T^*$ of a closed linear operator and its Hilbert space adjoint everything is possible for very common classes of o…
On the mappings connected with parallel addition of nonnegative operators
Yu. M. Arlinskiĭ
We study a mapping of the cone of bounded nonnegative self-adjoint operators in a complex Hilbert space into itself. This mapping…
On m-sectorial extensions of sectorial operators
Yu. M. Arlinskiĭ, A. B. Popov
In our article [15] description in terms of abstract boundary conditions of all -accretive extensions and their resolvents of a closed densely defined sectorial operator hav…
Compressed resolvents of selfadjoint contractive extensions with exit and holomorphic operator-functions associated with them
Yury Arlinskii, Seppo Hassi
Contractive selfadjoint extensions of a Hermitian contraction in a Hilbert space with an exit in some larger Hilbert space are…
Around the Van Daele--Schmüdgen theorem
Yury Arlinskii, Valentin Zagrebnov
For a {bounded} non-negative self-adjoint operator acting in a complex, infinite-dimensional, separable Hilbert space H and possessing a dense range R we propose a new approach to…