| 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 |
|