ON THE BOUNDEDNESS OF HAMILTONIAN OPERATORS
Authors:
Type:
Article
Pages:
from 451
to 453
Status:
Published
Received:
29.08.2014
Accepted:
07.10.2014
Published:
07.10.2014
Language:
Russian
Keywords:
Krein space, dissipative, self-adjoint operator, Hamiltonian
Abstract (English):
In this paper we show that a non-negative Hamiltonian operator whose domain contains a maximal uniformly positive subspace is bounded.
In this paper we show that a non-negative Hamiltonian operator whose domain contains a maximal uniformly positive subspace is bounded.
Keywords:
Krein space, dissipative, self-adjoint operator, Hamiltonian
Krein space, dissipative, self-adjoint operator, Hamiltonian
Рассмотрим гильбертово пространство H=G⊕G представляющее собой ортогональную сумму двух экземпляров гильбертова пространства {G,(.,.)}.
1. Azizov T.Ya. Osnovy teorii lineynykh operatorov v prostranstvakh s indefinitnoy metrikoy / T.Ya. Azizov, I.S. Iokhvidov - M.: Nauka, 1986.
