A new functional calculus for non-commuting operators

Details A new functional calculus for non-commuting operators A new functional calculus for non-commuting operators

2007-08-27

arxiv.org/abs/0708.3594v2

J. Funct. Anal. 254 (2008), no. 8, 2255--2274

Mathematics

Spectral Theory

to appear in Journal of Functional Analysis

Scientific paper

10.1016/j.jfa.2007.12.008

In this paper we use the notion of slice monogenic functions \cite{slicecss} to define a new functional calculus for an $n$-tuple $T$ of not necessarily commuting operators. This calculus is different from the one discussed in \cite{jefferies} and it allows the explicit construction of the eigenvalue equation for the $n$-tuple $T$ based on a new notion of spectrum for $T$. Our functional calculus is consistent with the Riesz-Dunford calculus in the case of a single operator.

Affiliated with

Also associated with

No associations

Rating

A new functional calculus for non-commuting operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A new functional calculus for non-commuting operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new functional calculus for non-commuting operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-126400