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. It emphasizes practical applications while presenting foundational concepts. A notable feature is the inclusion of 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 text aims to make complex ideas accessible to a diverse audience.