The purpose of this book is to fill this gap and present a unified approach to the theory of locally solid Riesz spaces. It has been our desire to emphasize the relationship between the order structure and the topological structure. The present work is written for graduate students and for persons involved in research in functional analysis. The book is self-contained and should be accessible to any student with a standard course in functional analysis. The material has been arranged into seven chapters. As a supplement, at the end of each chapter, we have included a number of exercises of varying degrees of difficulty. We have also listed some open problems to give insight into possible areas of research. Throughout the book the basic concepts are illustrated by numerous examples and counterexamples, and special notes trace the history of the subject. However, it is possible that credit was not given to all contributors to this field.
Read more at http://ebookee.org/Locally-solid-Riesz-spaces-Volume-76-Pure-and-Applied-Mathematics_1707249.html#6w2Zz01dskDQIecZ.99