+91-674-249-4082
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.
School of Mathematical Sciences
NISER, PO- Bhimpur-Padanpur, Via- Jatni, District- Khurda, Odisha, India, PIN- 752050
Tel: +91-674-249-4081