Quadratic functionals and Jordan *-derivations
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Peter Šemrl (1990)
Studia Mathematica
Dijana Ilišević (2005)
Studia Mathematica
The problem of representability of quadratic functionals by sesquilinear forms is studied in this article in the setting of a module over an algebra that belongs to a certain class of complex Banach *-algebras with an approximate identity. That class includes C*-algebras as well as H*-algebras and their trace classes. Each quadratic functional acting on such a module can be represented by a unique sesquilinear form. That form generally takes values in a larger algebra than the given quadratic functional...
L. Waelbroeck (1983)
Studia Mathematica
Steven M. Moore (1977)
Revista colombiana de matematicas
Kunyu Guo, Shengzhao Hou (2004)
Studia Mathematica
We introduce a partial order relation in the Fock space. Applying it we show that for the quasi-invariant subspace [p] generated by a polynomial p with nonzero leading term, a quasi-invariant subspace M is similar to [p] if and only if there exists a polynomial q with the same leading term as p such that M = [q].
Michael Grosser (1997)
Studia Mathematica
Let A be the Banach algebra of approximable operators on an arbitrary Banach space X. For the spaces of all bilinear continuous quasi-multipliers of A resp. its dual A* resp. its bidual A**, concrete representations as spaces of operators are given.
Adib, Marjan, Riazi, Abdolhamid, Khan, Liaqat Ali (2011)
Abstract and Applied Analysis
Philippe Robba (1974)
Mémoires de la Société Mathématique de France
L. Waelbroeck (1982)
Banach Center Publications
L. Waelbroeck (1982)
Banach Center Publications
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