Abstract
A survey of a general theory of quadratic operators in Banach spaces with close relations to the nonassociative Banach algebras is presented. Some applications to matrix and integral quadratic operators in classical Banach spaces are given.
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Mathematics Subject Classification (2010). 46H70, 45G10
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Dedicated to Leonia Lerer on the occasion of his 70th birthday
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Lyubich, Y.I. (2013). Quadratic Operators in Banach Spaces and Nonassociative Banach Algebras. In: Kaashoek, M., Rodman, L., Woerdeman, H. (eds) Advances in Structured Operator Theory and Related Areas. Operator Theory: Advances and Applications, vol 237. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0639-8_14
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DOI: https://doi.org/10.1007/978-3-0348-0639-8_14
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