Functional Analysis in Applied Mathematics and Engineering

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The book provides a comprehensive exploration of functional analysis tailored for control specialists in engineering fields such as electrical, mechanical, and aerospace. It starts with a thorough introduction to fundamental function spaces and operators, progressing to Hilbert space problems. Key topics include the proof of the spectral theorem for unbounded operators with compact inverses and the development of abstract evolution semigroup theory for time-dependent linear partial differential operators, laying a solid groundwork for advanced discussions.