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This version of SharkBytes has been archived as of February 28, 2019. To search through archived articles, visit nova.edu/search. To access the new version of SharkBytes, visit sharkbytes.nova.edu.

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Contact

Division of Public Relations and Marketing Communications
Nova Southeastern University
3301 College Avenue
Fort Lauderdale, Florida 33314-7796

communications@nova.edu

Halmos Mathematics Colloquium Series Hosted Talk on Numerical Ranges

Spitkovsky

On Thursday, January 17, Ilya Spitkovsky, Ph.D., Professor of Mathematics, New York University Abu Dhabi, presented a talk entitled, “On some generalizations of the numerical range and their properties”.

The seminar was about For a bounded linear operator A (or, in the finite dimensional setting, an n-by-n matrix A) its classical numerical range is defined as the mage of the unit sphere under the mapping f(x)=(Ax,x). The normalized numerical range results when in this definition (Ax,x) is replaced by (Ax,x)/||Ax||.  They also discussed some general properties of this set, and in particular provide its complete description in the cases when A is normal or n=2.

Halmos College of Natural Sciences and Oceanography department of mathematics hosts the mathematics colloquium series in the Parker Building, Room 301. For more information. please kindly check https://nyuad.nyu.edu/en/academics/faculty/ilya-spitkovsky.html