The relationship of the Gaussian curvature with the curvature of a Cowen-Douglas operator

Show simple item record

dc.contributor.author Ghara, Soumitra
dc.contributor.author Misra, Gadadhar
dc.date.accessioned 2022-02-16T08:48:07Z
dc.date.available 2022-02-16T08:48:07Z
dc.date.issued 2022-02
dc.identifier.citation Ghara, Soumitra and Misra, Gadadhar, "The relationship of the Gaussian curvature with the curvature of a Cowen-Douglas operator", arXiv, Cornell University Library, DOI: arXiv:2202.02402, Feb. 2022. en_US
dc.identifier.issn
dc.identifier.uri http://arxiv.org/abs/2202.02402
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/7536
dc.description.abstract It has been recently shown that if K is a sesqui-analytic scalar valued non-negative definite kernel on a domain Ω in Cm, then the function (K2∂i∂¯jlogK)mi,j=1, is also a non-negative definite kernel on Ω. In this paper, we discuss two consequences of this result. The first one strengthens the curvature inequality for operators in the Cowen-Douglas class B1(Ω) while the second one gives a relationship of the reproducing kernel of a submodule of certain Hilbert modules with the curvature of the associated quotient module.
dc.description.statementofresponsibility by Soumitra Ghara and Gadadhar Misra
dc.language.iso en_US en_US
dc.publisher Cornell University Library en_US
dc.subject Gaussian curvature en_US
dc.subject Cowen-Douglas operator en_US
dc.subject Sesqui-analytic scalar en_US
dc.subject Hilbert modules en_US
dc.title The relationship of the Gaussian curvature with the curvature of a Cowen-Douglas operator en_US
dc.type Pre-Print en_US
dc.relation.journal arXiv


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

Search Digital Repository


Browse

My Account