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Readership: Advanced undergraduate and graduate students and researchers in mathematics.
Shmuel Kantorovitz, Bar-Ilan Univerity, Israel
Review(s) from previous edition"Here we have the distilled and refined essence of the fruits of world-renowned functional analyst Kantorovitz, who spent 40 years teaching functional analysis to aspiring students of that domain. Everything one might reasonably expect such a student to understand is here, masterfully presented ... A strong bibliography and thorough index nicely complement the main work ... Highly recommended. - F.E.J. Linton, Wesleyan University (Choice)
"... will be useful for advanced undergraduate and graduate students in mathematics." - Zentralblatt Math
"The book can be viewed as a multi-purpose text for advanced undergraduate and graduate students." - EMS
"The author offers a refreshingly unorthodox and lucid version of "modern analysis" ... All in all, this book is a valuable and pleasant contribution to the wide field of "modern analysis"." - MathSolNet (Mathematical Reviews on the Web)
Preface 1: Measures 2: Construction of measures 3: Measure and topology 4: Continuous linear functionals 5: Duality 6: Bounded operators 7: Banach algebras 8: Hilbert spaces 9: Integral representation 10: Unbounded operators Application I:Probability Application II: Distributions Bibliography Index
