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

Authors

  • O. G. Storozh Department of Information Technology and High Mathematics, Berezhany Agrotechnical Institute, 20 Academichna, Berezhany, 47501, Ukraine
  • H. M. Pipa Department of Mathematical and Functional Analysis, Lviv Ivan Franko National University, 1 Universitetska, Lviv, 79000, Ukraine

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Abstract

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.

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Published

2008-12-25

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Articles

How to Cite

Storozh, O. G., and H. M. Pipa. “The Criteria of Maximal Dissipativity and Self-Adjointness for a Class of Differential-Boundary Operators With Bounded Operator Coefficients”. Methods of Functional Analysis and Topology, vol. 14, no. 4, Dec. 2008, pp. 372-9, https://zen.imath.kiev.ua/index.php/mfat/article/view/400.