On proper accretive extensions of positive linear relations

• Published in: Український математичний журнал
• Date: 1995
• Main Author: Arlinskii, Yu.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1995
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165004
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On proper accretive extensions of positive linear relations / Yu.M. Arlinskii // Український математичний журнал. — 1995. — Т. 47, № 6. — С. 723–730. — англ.

A linear relation Ŝ is called a proper extension of a symmetric linear relation S if S ⊂ Ŝ ⊂ S*. As is well known, an arbitrary dissipative extension of a symmetric linear relation is proper. In the present paper, we establish criteria for an accretive extension of a given positive symmetric linear...