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9783319343747

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I found much to enjoy and admire in this well-motivated, tightly organised introduction to the theory of locally convex spaces. It is a genuine graduate textbook, designed to be of maximum utility to those encountering this area of functional analysis for the first time. (Nick Lord, The Mathematical Gazette, Vol. 99 (546), November, 2015) The aim of the book is to explore the theory of locally convex spaces relying only on a modest familiarity with Banach spaces, and taking an applications oriented approach. ... the author's very focused aim and clear exposition makes the book an excellent addition to the literature. The book is suitable for self-study as well as a textbook for a graduate course. The book can also be prescribed as additional text in a first course in functional analysis. (Ittay Weiss, MAA Reviews, September, 2015) The book presents an essential part of the general theory of locally convex spaces dealt with in functional analysis. ... The book is well written, accessible for students and it contains a good selection of exercises. (Enrique Jorda, Mathematical Reviews, August, 2014) This is a great book about the set theory of real and complex numbers in addition to being a good reference on topological vector spaces. I recommend it to all logicians and philosophers of logic. It should appeal to abstract mathematicians, students at the undergraduate/ and graduate levels. (Joseph J. Grenier, Amazon.com, August, 2014) The book is well written, it is easy to read and should be useful for a one semester course. The proofs are clear and easy to follow and there are many exercises. The book presents in an accessible way the classical theory of locally convex spaces, and can be useful especially for beginners interested in different areas of analysis ... . a good addition to the literature on this topic. (Jose Bonet, zbMATH, Vol. 1287, 2014)

I found much to enjoy and admire in this well-motivated, tightly organised introduction to the theory of locally convex spaces. It is a genuine graduate textbook, designed to be of maximum utility to those encountering this area of functional analysis for the first time. (Nick Lord, The Mathematical Gazette, Vol. 99 (546), November, 2015) The aim of the book is to explore the theory of locally convex spaces relying only on a modest familiarity with Banach spaces, and taking an applications oriented approach. ... the author's very focused aim and clear exposition makes the book an excellent addition to the literature. The book is suitable for self-study as well as a textbook for a graduate course. The book can also be prescribed as additional text in a first course in functional analysis. (Ittay Weiss, MAA Reviews, September, 2015) The book presents an essential part of the general theory of locally convex spaces dealt with in functional analysis. ... The book is well written, accessible for students and it contains a good selection of exercises. (Enrique Jorda, Mathematical Reviews, August, 2014) This is a great book about the set theory of real and complex numbers in addition to being a good reference on topological vector spaces. I recommend it to all logicians and philosophers of logic. It should appeal to abstract mathematicians, students at the undergraduate/ and graduate levels. (Joseph J. Grenier, Amazon.com, August, 2014) The book is well written, it is easy to read and should be useful for a one semester course. The proofs are clear and easy to follow and there are many exercises. The book presents in an accessible way the classical theory of locally convex spaces, and can be useful especially for beginners interested in different areas of analysis ... . a good addition to the literature on this topic. (Jose Bonet, zbMATH, Vol. 1287, 2014)

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M. Scott Osborne is currently Professor Emeritus of Mathematics at the University of Washington.

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