scholarly journals Multiple operator integrals and higher operator derivatives

2006 ◽  
Vol 233 (2) ◽  
pp. 515-544 ◽  
Author(s):  
V.V. Peller
Keyword(s):  
1972 ◽  
Vol 35 (3) ◽  
pp. 972-974
Author(s):  
E. Shimoff

A device is described which allows students to present discriminative stimuli to an instructor during a lecture Explicit and immediare reinforcement of the instructor's appropriate classroom behavior increased clarity and informativeness of lectures


2009 ◽  
Vol 61 (2) ◽  
pp. 241-263 ◽  
Author(s):  
N. A. Azamov ◽  
A. L. Carey ◽  
P. G. Dodds ◽  
F. A. Sukochev

Abstract. We present a new and simple approach to the theory of multiple operator integrals that applies to unbounded operators affiliated with general von Neumann algebras. For semifinite von Neumann algebras we give applications to the Fréchet differentiation of operator functions that sharpen existing results, and establish the Birman–Solomyak representation of the spectral shift function of M.G. Krein in terms of an average of spectral measures in the type II setting. We also exhibit a surprising connection between the spectral shift function and spectral flow.


Author(s):  
John G. Morrison ◽  
Dorian Gálvez-López ◽  
Gabe Sibley
Keyword(s):  

Author(s):  
Hend Alhosani ◽  
Muhammad Habib ur Rehman ◽  
Khaled Salah ◽  
Claudio Lima ◽  
Davor Svetinovic

2020 ◽  
pp. 1-17
Author(s):  
Clément Coine

Abstract In this paper, we characterize the multiple operator integrals mappings that are bounded on the Haagerup tensor product of spaces of compact operators. We show that such maps are automatically completely bounded and prove that this is equivalent to a certain factorization property of the symbol associated with the operator integral mapping. This generalizes a result by Juschenko-Todorov-Turowska on the boundedness of measurable multilinear Schur multipliers.


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