On existence of maximal semidefinite invariant subspaces for $J$-dissipative operators

Autor:	Pyatkov, S. G.
Rok vydání:	2010
Předmět:	Mathematics - Functional Analysis Primary 47B50 Secondary 46C20 47D06
Druh dokumentu:	Working Paper
Popis:	We describe necessary and sufficient conditions for a $J$-dissipative operator in a Krein space to have maximal semidefinite invariant subspaces. The semigroup properties of the restrictions of an operator to these subspaces are studied. Applications are given to the case when an operator admits matrix representation with respect to the canonical decomposition of the space. The main conditions are given in the terms of the interpolation theory of Banach spaces. Comment: 22 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1007.4131 Zobrazit plný text záznamu View this record from Arxiv