Preparing students for further study of both the classical works and current research, this is an accessible text for students who have had a course in real and complex analysis and understand the basic properties of L p spaces. It is sprinkled liberally with examples, historical notes, citations, and original sources, and over 450 exercises provide practice in the use of the results developed in the text through supplementary examples and counterexamples.
Basic Concepts.- The Weak and Weak.- Topologies.- Linear Operators.- Schauder Bases.- Rotundity and Smoothness.- A: Prerequisites.- B: Metric Spaces.- C: The Spaces l_p and l^änü_äpü, 1leq p leqinfty.- D: Ultranets.
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