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Showing 1 to 5 of 5 for “"Sesquilinear forms"”.
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Low-Dimensional Reality-Based Algebras
… of reality-based algebras, table algebras. Using sesquilinear forms, we prove that a reality-based algebra is semisimple. We look at a specific reality-based algebra of dimension 5 and provide formulas for the structure constants of this algebra. We determine by looking at these structure …
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Linear Algebra, Random Matrices and Lie Theory
… as the automorphism groups of the bilinear and sesquilinear forms are discussed with numerical examples. In particular, we present a general approach for computing a basis of the tangent space of the automorphism group. In the second part, we derive a series of matrix factorizations from the …
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Representable functionals and derivations on Banach quasi *-algebras
… shown in \cite{AT}, by proving first that every sesquilinear form associated to a representable functional is everywhere defined and continuous. In particular, Hilbert quasi *-algebras are always fully representable. The aforementioned result about sesquilinear forms allows one to select {\em …
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Rappresentazioni di forme sesquilineari con applicazioni a successioni di vettori in spazi di Hilbert
… nella letteratura a una ampia classe di forme sesquilineari illimitate in spazi di Hilbert. Nella seconda parte sono considerate le forme sesquilineari indotte da una o due successioni di vettori, motivate dalla teoria dei frame. I frame di uno spazio di Hilbert sono successioni di vettori che …