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DTSTART:20210314T100000
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DTSTART;TZID=America/Los_Angeles:20211110T163000
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SUMMARY:Projections on Banach spaces and a lifting property of operators (Prof. Botelho)
DESCRIPTION:\n\n\nTitle: Projections on Banach spaces and a lifting property of operators \nProf. Maria Fernanda Botelho\nDepartment of Mathematical Sciences\nThe University Of Memphis \nAbstract: In this talk I will present properties of contractive projections and explain their role in the existence of norm preserving lifts of operators. A pair of Banach spaces (X\, J)\, with J a closed subspace of X\, has the quotient lifting property (QLP) iff for every space Y and S ∈ L(Y\, X/J)\, there is Ŝ ∈ L(Y\, X)such that S = π ◦ Ŝ\, where π denotes the quotient map from X onto X/J. This property was motivated by Lindenstrauss and Tzafriri lifting property for Banach spaces. \nA pair of Banach spaces (X\,J) has the QLP iff J is the kernel of a contractive projection on X. Several illustrative examples will be discussed. \n\n\n\n \nBio-Sketch for Fernanda Botelho: \nI am a full professor in the Department of Mathematical Sciences at the University of Memphis. I earned a Doctor of Philosophy degree in Mathematics from the University of California at Berkeley and I did my undergraduate studies at the Universidade do Porto\, Portugal. \nMy main research interest is in Operator Theory and Functional Analysis. I have authored and co-authored more than 80 research articles. I was a Donavant Professor in 2013-2016. I have been the coordinator for the Mathematical Sciences Graduate Programs since 2015. \nI participated and organized several conferences\, funded by the National Sciences Foundation and in collaboration with the Association for Women in Mathematics. I have served in programs geared to high school teachers and the professional training of graduate assistants. \n
URL:https://colleges.claremont.edu/ccms/event/projections-on-banach-spaces-and-a-lifting-property-of-operators-prof-botelho/
LOCATION:Zoom
CATEGORIES:Colloquium
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