On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems.III. Separated Boundary Conditions

• Veröffentlicht in: Журнал математической физики, анализа, геометрии
• Datum: 2006
• 1. Verfasser: Khrabustovsky, V.I.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2006
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/106679
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems.III. Separated Boundary Conditions / V.I. Khrabustovsky // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 449-473. — Бібліогр.: 5 назв. — англ.

For the systems as in the title, boundary-value problems with separated boundary conditions are considered. We prove that the characteristic operator of such problem admits a special expression in terms of the projection (characteristic projection). This allows one to introduce for the above systems...