%0 Journal Article %T A simple proof of the Fredholm Alternative %A Otgonbayar Uuye %J Mathematics %D 2010 %I arXiv %X In this expository note, we present a simple proof of the Fredholm Alternative for compact operators that are norm limits of finite rank operators. We also prove a Fredholm Alternative for pseudodifferential operators of order < 0. %U http://arxiv.org/abs/1011.2933v1