A pair of operator summation formulas and their applications
✍ Scribed by Tian-Xiao He; Leetsch C. Hsu; Dongsheng Yin
- Book ID
- 104008638
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 541 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
a b s t r a c t Two types of symbolic summation formulas are reformulated using an extension of Mullin-Rota's substitution rule in [R. Mullin, G.-C.
📜 SIMILAR VOLUMES
The purpose of this paper is, to establish, by extensive use of the minor summation formula of pfaffians exploited in (Ishikawa, Okada, and Wakayama, J. Algebra 183, 193 216) certain new generating functions involving Schur polynomials which have a product representation. This generating function gi
## 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