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

Authors

  • O. G. Storozh Department of Mathematical and Functional Analysis, Lviv Ivan Franko National University, 1 Universytetska, Lviv, 79000, Ukraine
  • Iu. I. Oliiar Department of Mathematical and Functional Analysis, Lviv Ivan Franko National University, 1 Universytetska, Lviv, 79000, Ukraine

DOI:

Keywords:

Hilbert space, operator, relation, extension, mutual adjointness

Abstract

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.

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Published

2014-03-25

Issue

Vol. 20 No. 1 (2014)

Section

Articles

How to Cite

Storozh, O. G., and Iu. I. Oliiar. “On a Criterion of Mutual Adjointness for Extensions of Some Nondensely Defined Operators”. Methods of Functional Analysis and Topology, vol. 20, no. 1, Mar. 2014, pp. 50-58, https://zen.imath.kiev.ua/index.php/mfat/article/view/566.