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Seminar by G. Priyanga

Friday, January 4, 2019 - 15:30 to 16:30
G. Priyanga
Texas A & M University, USA
Factorization of Identity map through large diagonal operators

Let $X$ be a Banach space with Schauder basis. A bounded linear operator $T$ on $X$ is said to have Large Diagonal if its matrix representation has diagonal entries uniformly bounded away from $0$. In this talk, we discuss the question whether it is possible to factor the identity map on $X$, through large diagonal operators. And we will see that the answer is in the affirmative for the case of $l^p$ and $L^p$ spaces with some useful bases.  

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