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Article . 2007
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RE.PUBLIC@POLIMI Research Publications at Politecnico di Milano
Article . 2007
Data sources: RE.PUBLIC@POLIMI Research Publications at Politecnico di Milano
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A functional calculus in a non commutative setting

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2007 Italy, United States English Publisher:American Mathematical Society:PO Box 6248:Providence, RI 02940:(800)321-4267, (401)455-4000, EMAIL: cust-serv@ams.org, gma@math.ams.org, INTERNET: http://www.ams.org, Fax: (401)331-3842
Authors: COLOMBO, FABRIZIO; G. Gentili; SABADINI, IRENE MARIA; D. Struppa;

handle: 11311/252561 , 2158/252912

A functional calculus in a non commutative setting

Abstract

In this paper we announce the development of a functional calculus for operators defined on quaternionic Banach spaces. The definition is based on a new notion of slice regularity and the key tools are a new resolvent operator and a new eigenvalue problem. This approach allows us to deal both with bounded and unbounded operators.

Countries
Italy, United States
Related Organizations
Keywords

spectral theory, functional calculus, Functional calculus; spectral theory; bounded and unbounded operators., Analysis, bounded and unbounded operators

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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