Schatten-von Neumann Classes

Abstract

We devote this chapter to a brief and fairly self-contained study on the Schattenvon Neumann classes. The topics are selected and organized in such a way that we can use them easily later in this book. Some proofs are omitted whenever they are easily available in the literature. More comprehensive accounts on the Schatten-von Neumann classes can be found in Dunford and Schwartz [25], Gohberg, Goldberg and Krupnik [31], Reed and Simon [72], Simon [82] and Zhu [108]. Recommended references for basic functional analysis that we use in this book are Douglas [15], Gohberg and Goldberg [30], Reed and Simon [72], Schechter [76] and Young [106].