RUS  ENG
Full version
JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive
Proceedings of the YSU, Physical and Mathematical Sciences, 2009 Issue 3, Pages 3–9 (Mi uzeru229)
Mathematics

On some formulas for the index of linear bounded operator

I. G. Khachatryan

Chair of Differential Equations YSU, Armenia

Abstract: We consider the linear bounded operator in infinite dimensional separable Hilbert space satisfying some conditions. We prove formulas that can be used to calculate the index of this operator.

Keywords: operator, index, trace, absolute norm.

Received: 11.02.2009
Accepted: 11.03.2009

Language: English


© Steklov Math. Inst. of RAS, 2024