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

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.

Full Text

Article Information

Title	The criteria of maximal dissipativity and self-adjointness for a class of differential-boundary operators with bounded operator coefficients
Source	Methods Funct. Anal. Topology, Vol. 14 (2008), no. 4, 372-379
MathSciNet	MR2469076
Copyright	The Author(s) 2008 (CC BY-SA)

Authors Information

H. M. Pipa
Department of Information Technology and High Mathematics, Berezhany Agrotechnical Institute, 20 Academichna, Berezhany, 47501, Ukraine

O. G. Storozh
Department of Mathematical and Functional Analysis, Lviv Ivan Franko National University, 1 Universitetska, Lviv, 79000, Ukraine

Citation Example

H. M. Pipa and O. G. Storozh, 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.

BibTex

@article {MFAT430,
    AUTHOR = {Pipa, H. M. and Storozh, O. G.},
     TITLE = {The criteria of maximal dissipativity and self-adjointness for a class of differential-boundary operators with bounded operator coefficients},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {14},
      YEAR = {2008},
    NUMBER = {4},
     PAGES = {372-379},
      ISSN = {1029-3531},
  MRNUMBER = {MR2469076},
       URL = {http://mfat.imath.kiev.ua/article/?id=430},
}