A Functional Calculus in a Non Commutative Setting

Q3 Mathematics

Electronic Research Announcements in Mathematical Sciences Pub Date : 2007-01-01 DOI:10.3934/ERA.2007.14.60

F. Colombo, G. Gentili, I. Sabadini, D. Struppa

引用次数: 22

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, see [6], 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.

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非交换条件下的泛函微积分

在本文中，我们宣布了四元数巴拿赫空间上定义的算子的泛函演算的发展。该定义基于切片正则性的新概念(见[6])，关键工具是一个新的可解算子和一个新的特征值问题。这种方法允许我们处理有界和无界操作符。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Research Announcements in Mathematical Sciences 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication. ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007