Koplienko Trace Formula

被引：7
作者：
Chattopadhyay, Arup [1 ]
Sinha, Kalyan B. [1 ]
机构：
[1] JN Ctr Adv Sci Res, Bangalore 560064, Karnataka, India
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2012年 / 73卷 / 04期
关键词：
Trace formula; shift function; SPECTRAL SHIFT FUNCTION;
D O I：
10.1007/s00020-012-1978-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Koplienko (Sib Math J 25(5): 735-743, 1984) gave a trace formula for perturbations of self-adjoint operators by operators of Hilbert-Schmidt class . Recently Gesztesy et al. (Basics Z Mat Fiz Anal Geom 4(1):63-107, 2008) gave an alternative proof of the trace formula when the operators involved are bounded. In this article, we give a still another proof and extend the formula for unbounded case by reducing the problem to a finite dimensional one as in the proof of Krein trace formula by Voiculescu (On a Trace Formula of M. G. Krein. Operator Theory: Advances and Applications, vol. 24, pp. 329-332. Birkhauser, Basel, 1987), Sinha and Mohapatra (Proc Indian Acad Sci (Math Sci) 104(4):819-853, 1994).
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页码：573 / 587
页数：15
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