This is an announcement for the paper “Characterizations of almost greedy and partially greedy bases” by S. J. Dilworthhttps://arxiv.org/search?searchtype=author&query=Dilworth%2C+S+J, Divya Khuranahttps://arxiv.org/search?searchtype=author&query=Khurana%2C+D.

Abstract: We shall present new characterizations of partially greedy and almost greedy bases. A new class of basis (which we call reverse partially greedy basis) arises naturally from these characterizations of partially greedy bases. We also give characterizations for $1$-partially greedy and $1$-reverse partially greedy bases.

The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1805.06778