Zameddin I. Ismailov, Elif Otkun Cevik, Erdal Unluyol
Abstract:
In this work, we describe all normal extensions of a multipoint
minimal operators generated by linear multipoint
differential-operator expressions for first order in the
Hilbert space of vector functions, in terms of boundary values
at the endpoints of infinitely many separated subintervals.
Also we investigate compactness properties of the inverses
of such extensions.
Submitted May 7, 2011. Published July 5, 2011.
Math Subject Classifications: 47A05, 47A20.
Key Words: Direct sum of Hilbert spaces and operators; extension;
multipoint selfadjoint operator; formally normal operator;
normal operator.
Show me the PDF file (230 KB), TEX file, and other files for this article.
 |
Zameddin I. Ismailov Department of Mathematics, Faculty of Sciences Karadeniz Technical University 61080, Trabzon, Turkey email: zameddin@yahoo.com |
|---|---|
 |
Elif Otkun Çevik Institute of Natural Sciences Karadeniz Technical University 61080, Trabzon, Turkey email: e_otkuncevik@hotmail.com |
 |
Erdal Unluyol Department of Mathematics, Faculty of Sciences Karadeniz Technical University 61080, Trabzon, Turkey email: eunluyol@yahoo.com |
Return to the EJDE web page