Titlebook: Banach Algebra Techniques in Operator Theory; Ronald G. Douglas Textbook 1998Latest edition Springer Science+Business Media, LLC, part of

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https://doi.org/10.1007/978-1-4612-1656-8Banach algebra; C*-algebra; Hilbert space; Operator theory; algebra; measure

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https://doi.org/10.1007/978-3-7091-9790-5, be quite different from that of Euclidean n-space; for example, the unit ball of a Banach space may have corners, and closed convex sets need not possess a unique vector of smallest norm. The most important geometrical property absent in general Banach spaces is a notion of perpendicularity or ort

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https://doi.org/10.1007/978-3-7091-9790-5 this result can be viewed as the appropriate generalization to infinite-dimensional spaces of the diagonalizability of matrices on finite-dimensional spaces. There is another class of operators which are a generalization in a topological sense of operators on a finite-dimensional space. In this cha

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