A simple proof of necessity in the mccullough-quiggin theorem

Greg Knese

doi:10.1090/proc/15061

A simple proof of necessity in the mccullough-quiggin theorem

Greg Knese

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

A short and simple proof of necessity in the McCullough-Quiggin characterization of positive semi-deﬁnite kernels with the complete Pick property is presented.

Original language	English
Pages (from-to)	3453-3456
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	148
Issue number	8
DOIs	https://doi.org/10.1090/proc/15061
State	Published - Aug 2020

Keywords

Complete Pick kernel
Reproducing kernel Hilbert space

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10.1090/proc/15061

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title = "A simple proof of necessity in the mccullough-quiggin theorem",

abstract = "A short and simple proof of necessity in the McCullough-Quiggin characterization of positive semi-deﬁnite kernels with the complete Pick property is presented.",

keywords = "Complete Pick kernel, Reproducing kernel Hilbert space",

author = "Greg Knese",

note = "Publisher Copyright: {\textcopyright} 2020 American Mathematical Society",

year = "2020",

month = aug,

doi = "10.1090/proc/15061",

language = "English",

volume = "148",

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AB - A short and simple proof of necessity in the McCullough-Quiggin characterization of positive semi-deﬁnite kernels with the complete Pick property is presented.

KW - Complete Pick kernel

KW - Reproducing kernel Hilbert space

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JF - Proceedings of the American Mathematical Society

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A simple proof of necessity in the mccullough-quiggin theorem

Abstract

Keywords

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