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Lineability: The Search for Linearity in Mathematics / Edition 1
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Lineability: The Search for Linearity in Mathematics / Edition 1
Current price: $71.99
Barnes and Noble
Lineability: The Search for Linearity in Mathematics / Edition 1
Current price: $71.99
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After presenting basic concepts about the existence of linear structures, the book discusses lineability properties of families of functions defined on a subset of the real line as well as the lineability of special families of holomorphic (or analytic) functions defined on some domain of the complex plane. It next focuses on spaces of sequences and spaces of integrable functions before covering the phenomenon of universality from an algebraic point of view. The authors then describe the linear structure of the set of zeros of a polynomial defined on a real or complex Banach space and explore specialized topics, such as the lineability of various families of vectors. The book concludes with an account of general techniques for discovering lineability in its diverse degrees.