# O. G. Storozh

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### On a criterion of mutual adjointness for extensions of some nondensely defined operators

Methods Funct. Anal. Topology **20** (2014), no. 1, 50-58

In the paper the role of initial object is played by a pair of closed linear densely defined operators $L_0$ and $M_0$, where $L_0 \subset M_0^{\ast}:= L,$ acting in Hilbert space. A criterion of mutual adjointness for some classes of the extensions of finite-dimensional (non densely defined) restrictions of $L_0$ and $M_0$ are established. The main results are based on the theory of linear relations in Hilbert spaces and are formulated in the terms of abstract boundary operators.

### The criteria of maximal dissipativity and self-adjointness for a class of differential-boundary operators with bounded operator coefficients

Methods Funct. Anal. Topology **14** (2008), no. 4, 372-379

A class of the second order differential-boundary operators acting in the Hilbert space of infinite-dimensional vector-functions is investigated. The domains of considered operators are defined by nonstandard (e.g., multipoint-integral) boundary conditions. The criteria of maximal dissipativity and the criteria of self-adjointness for investigated operators are established.

### On some perturbations changing the domain of proper extension of positively definite operator

Methods Funct. Anal. Topology **11** (2005), no. 3, 257-269