Vector Measures
jun 1977 · Mathematical Surveys and Monographs Libro 15 · American Mathematical Soc.
eBook
322
Páginas
reportLas valoraciones y las reseñas no se verifican. Más información
Información sobre este eBook
In this survey the authors endeavor to give a comprehensive examination of the theory of measures having values in Banach spaces. The interplay between topological and geometric properties of Banach spaces and the properties of measures having values in Banach spaces is the unifying theme. The first chapter deals with countably additive vector measures finitely additive vector measures, the Orlicz-Pettis theorem and its relatives. Chapter II concentrates on measurable vector valued functions and the Bochner integral. Chapter III begins the study of the interplay among the Radon-Nikodym theorem for vector measures, operators on $L_1$ and topological properties of Banach spaces. A variety of applications is given in the next chapter. Chapter V deals with martingales of Bochner integrable functions and their relation to dentable subsets of Banach spaces. Chapter VI is devoted to a measure-theoretic study of weakly compact absolutely summing and nuclear operators on spaces of continuous functions. In Chapter VII a detailed study of the geometry of Banach spaces with the Radon-Nikodym property is given. The next chapter deals with the use of Radon-Nikodym theorems in the study of tensor products of Banach spaces. The last chapter concludes the survey with a discussion of the Liapounoff convexity theorem and other geometric properties of the range of a vector measure. Accompanying each chapter is an extensive survey of the literature and open problems.
Valorar este eBook
Danos tu opinión.
Información sobre cómo leer
Smartphones y tablets
Instala la aplicación Google Play Libros para Android y iPad/iPhone. Se sincroniza automáticamente con tu cuenta y te permite leer contenido online o sin conexión estés donde estés.
Ordenadores portátiles y de escritorio
Puedes usar el navegador web del ordenador para escuchar audiolibros que hayas comprado en Google Play.
eReaders y otros dispositivos
Para leer en dispositivos de tinta electrónica, como los lectores de libros electrónicos de Kobo, es necesario descargar un archivo y transferirlo al dispositivo. Sigue las instrucciones detalladas del Centro de Ayuda para transferir archivos a lectores de libros electrónicos compatibles.
