Invertibility and Singularity for Bounded Linear Operators taste for excitement

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Invertibility and Singularity for Bounded Linear Operators taste for excitementThis introduction to functional analysis focuses on the types of singularity that prevent an operator from being invertible. The presentation is based on the open mapping theorem, Hahn Banach theorem, dual space construction, enlargement of normed space, and Liouville's theorem. Suitable for advanced undergraduate and graduate courses in functional analysis, this volume is also a valuable resource for researchers in Fredholm theory, Banach algebras,