Discovery Projects - Grant ID: DP0342876

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0342876

Funding Status
Closed

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Funded Activity Summary

Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expected that the new techniques generated will find further application in areas of mathematical physics and non-commutative geometry related to quantized calculus.

Funded Activity Details

Start Date: 03-01-2003

End Date: 31-12-2006

Funding Scheme: Discovery Projects

Funding Amount: $175,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Pure Mathematics | Functional Analysis | Harmonic And Fourier Analysis |

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences

Other Keywords

Functional Analysis | Harmonic And Fourier Analysis | Mathematical sciences | Pure Mathematics

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