On the Taylor functional calculus

V. Müller

Displaying similar documents to “On the Taylor functional calculus”

Banach-valued axiomatic spectra

S. Seán, Robin E. Harte (2006)

Studia Mathematica

Similarity:

Using axiomatic joint spectra we obtain a functional calculus which extends our previous Gelfand-Waelbroeck type results to include a Banach-valued Taylor-Waelbroeck spectrum.

Möbius transformations and monogenic functional calculus.

Kisil, Vladimir V. (1996)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Similarity:

Functional calculus and the Gelfand transformation

M. Putinar (1984)

Studia Mathematica

Similarity:

(Ultra)differentiable functional calculus and current extension of the resolvent mapping

Mats Andersson (2003)

Annales de l’institut Fourier

Similarity:

Let $a = (a_{1}, ..., a_{n})$ be a tuple of commuting operators on a Banach space $X$ . We discuss various conditions equivalent to that the holomorphic (Taylor) functional calculus has an extension to the real-analytic functions or various ultradifferentiable classes. In particular, we discuss the possible existence of a functional calculus for smooth functions. We relate the existence of a possible extension to existence of a certain (ultra)current extension of the resolvent mapping over the (Taylor) spectrum...