New book on operator theory

Posted by on August 16, 2023 in Uncategorized

I have a new book with Stephan Garcia and Javad Mashreghi titled Operator Theory by Example which is published by Oxford University Press. Aimed at graduate students, this textbook provides an accessible and comprehensive introduction to operator theory. Rather than discuss the subject in the abstract, this textbook covers the subject through twenty examples of […]

New book on sequence spaces

Posted by on August 11, 2020 in Uncategorized

I recently published a book Function Theory and l^p spaces with Javad Mashreghi and Raymond Cheng. The classical ℓp sequence spaces have been a mainstay in Banach spaces. This book reviews some of the foundational results in this area (the basic inequalities, duality, convexity, geometry) as well as connects them to the function theory (boundary growth […]

Boundedness and compactness of composition operators

Posted by on April 21, 2010 in Uncategorized

I’m not an expert on composition operators and I’ve never published a paper on this subject — but I do have an opinion. For some reason I keep on getting referee requests and requests to write Math Reviews for papers on boundedness and compactness of composition operators between all sorts of non-standard and perhaps exotic spaces […]

How to give a good 20 minute math talk

Posted by on March 26, 2008 in Uncategorized

A colleague of mine wrote a nice piece about how to give a good mathematics colloquium talk. It is definitely worth a read. Paul Halmos also has a few words about giving talks. Like colloquium talks, many twenty minute talks are terrible. This is rather unfortunate and does real damage to mathematics. Though not all […]