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Trace formulas for pair operators

✍ Scribed by Harry Dym


Publisher
SP Birkhäuser Verlag Basel
Year
1978
Tongue
English
Weight
628 KB
Volume
1
Category
Article
ISSN
0378-620X

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Koplienko–Neidhardt trace formula for pa
✍ S. A. M. Marcantognini; M. D. Morán 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 180 KB

## Abstract We present a generalization of Koplienko–Neidhardt trace formula for pairs of Hilbert space operators (__T__ , __V__ ) with __T__ contractive and __V__ unitary such that __T__ – __V__ is a Hilbert–Schmidt operator. We extend the result to pairs of contractions and then, via Cayley trans

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In this note we give an exceedingly simple, although not quite rigorous, derivation of the well-known trace formula expressing a periodic potential in a onedimensional Schroedinger operator in terms of its periodic, antiperiodic, and Dirichlet respectively Neumann spectrum. The items listed in the b