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)

Presenter Bio

Fuzhen Zhang has a Ph.D. and is a Professor of Mathematics at Nova Southeastern University

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/

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Apr 8th, 12:00 PM Apr 8th, 1:00 PM

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