Linear Functional Analysis for Scientists and Engineers

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Focusing on the interplay between algebraic and metric structures, this introduction to functional analysis appeals to mathematicians, scientists, and engineers alike. It emphasizes practical applicability while presenting foundational concepts. Notably, it features Zabreiko's theorem, which asserts that every countably subadditive seminorm on a Banach space is continuous, leading to several significant theorems in the field. This unique perspective enhances the understanding of functional analysis for a diverse audience.