An Inequality for Tensor Product of Positive Operators and Its Applications
Description
Using words of operators in tensor product, this talk will present an inequality for positive operators on Hilbert space. The proof of the main result is combinatorial. As applications of the operator inequality and by a multilinear approach, this talk will show some matrix inequalities concerning induced operators and generalized matrix functions (including determinants and permanents as special cases)
Date of Event
April 8, 2015 12 - 1:00 PM
Location
Mailman-Hollywood Building Auditorium, 3301 College Ave., Fort Lauderdale (main campus)
NSU News Release Link
http://nsunews.nova.edu/mathematics-colloquium-to-discuss-faculty-research-april-8/
An Inequality for Tensor Product of Positive Operators and Its Applications
Mailman-Hollywood Building Auditorium, 3301 College Ave., Fort Lauderdale (main campus)
Using words of operators in tensor product, this talk will present an inequality for positive operators on Hilbert space. The proof of the main result is combinatorial. As applications of the operator inequality and by a multilinear approach, this talk will show some matrix inequalities concerning induced operators and generalized matrix functions (including determinants and permanents as special cases)
https://nsuworks.nova.edu/mathematics_colloquium/ay_2014-2015/events/1
Presenter Bio
Fuzhen Zhang has a Ph.D. and is a Professor of Mathematics at Nova Southeastern University