A Course in Functional Analysis - (De Gruyter Textbook) by Hugo D Junghenn (Paperback)

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Book Synopsis The purpose of this book is to provide a detailed treatment of the essential aspects of Banach spaces, Hilbert spaces and Banach algebras are needed for further study in areas such as dynamical systems, partial differential equations, and abstract Fourier analysis. The book assumes the reader has an undergraduate background in basic real analysis, including elementary set theory, limits, continuity, differentiation, and Riemann integration. An acquaintance with the properties of complex numbers is also assumed. Linear spaces, metric spaces, general topology, and integration are developed in detail in the appendices. The book contains numerous exercises to reinforce the materia…