Integral representation of product factorable bilinear operators and summability of bilinear maps on C(K)-spaces
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DOI: 10.1016/j.jmaa.2019.123629
Abstract: Abstract We present a constructive technique to represent classes of bilinear operators that allow a factorization through a bilinear product, providing a general version of the well-known characterization of integral bilinear forms as elements of… read more here.
Keywords: integral representation; bilinear maps; representation product; product ... See more keywords
Hypercyclic bilinear operators on Banach spaces
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DOI: 10.1016/j.jmaa.2019.123771
Abstract: We study the dynamics induced by an $m$-linear operator. We answer a question of Bes and Conejero showing an example of an $m$-linear hypercyclic operator acting on a Banach space. Moreover we prove the existence… read more here.
Keywords: banach spaces; hypercyclic bilinear; bilinear operators; operators banach ... See more keywords