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Salah Hamad Ph.D Defense

Boundization, Closure and Convergence of Complex Banach and Hilbert spaces and Applications

Date: 11/13/2018
Time: 4:30PM-6:30PM
Place: 315 Armstrong Hall

Abstract: We study Boundization, Closure and Convergence of Complex Banach and Hilbert spaces. We augment a Banach space with elements “infinity” and turn the augmented set into a metric space by appropriate distance functions. This new metric space is called the Ultra Extended Banach Space. A new family of bijections, motivated by nonlinear projections, take an Ultra Extended Banach Space into bounded subsets of a “larger” Banach space. We compare the family of new metrics induced and show which ones are equivalent and which ones are unexpectedly not equivalent. Some applications are provided.

Date, Location: 
2018-11-13