Product formulas in functional calculi for sectorial operators

We study the product formula (fg)(A)=f(A)g(A)(fg)(A)=f(A)g(A) in the framework of (unbounded) functional calculus of sectorial operators AA . We give an abstract result, and, as corollaries, we obtain new product formulas for the holomorphic functional calculus, an extended Stieltjes functional...

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Bibliographic Details
Main Authors: Batty, C, Gomilko, A, Tomilov, Y
Format: Journal article
Published: Springer-Verlag Berlin Heidelberg 2014