arXiv subjects

David Mitra

Publications and source records attributed to David Mitra.

2 recordsLinked to original sources

arXiv2000

Two characterizations of the standard unit vector basis of $l_1$

We show that for a sequence in a Banach space, the property of being stable under large perturbations characterizes the property of being equivalent to the unit vector basis of $l_1$. We show that a normalized unconditional basic sequence in $l_1$ that is semi-normalized in $l_\infty$ is equivalent to the standard unit vector basis of~$l_1$.

math.FA↗

arXiv2000

A Conditional Quasi-greedy Basis of l_1

We show that the Lindenstrauss basic sequence in l_1 may be used to construct a conditional quasi-greedy basis of l_1, thus answering a question of Wojtaszczyk. We further show that the sequence of coefficient functionals for this basis is not quasi-greedy.

math.FA↗