Banach Spaces Of Continuous Functions As Dual Spaces (cms Books In Mathematics)
by H. G. Dales /
2017 / English / PDF
2.6 MB Download
This book gives a coherent account of the theory of Banach spaces
and Banach lattices, using the spaces C_0(K) of continuous
functions on a locally compact space K as the main
example. The study of C_0(K) has been an important area of
functional analysis for many years. It gives several new
constructions, some involving Boolean rings, of this
space as well as many results on the Stonean space of
Boolean rings. The book also discusses when
Banach spaces of continuous functions are dual spaces and when
they are bidual spaces.
This book gives a coherent account of the theory of Banach spaces
and Banach lattices, using the spaces C_0(K) of continuous
functions on a locally compact space K as the main
example. The study of C_0(K) has been an important area of
functional analysis for many years. It gives several new
constructions, some involving Boolean rings, of this
space as well as many results on the Stonean space of
Boolean rings. The book also discusses when
Banach spaces of continuous functions are dual spaces and when
they are bidual spaces.
