Algebras of linear transformations

By Douglas R. Farenick. 2000

62 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Theoretical Computer Science

View Paper: https://www.semanticscholar.org/paper/adfdca6092d1d3e7f0d90315d147e6f863d4b302

How researchers see this paper

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In Geometry and Topology

1. Hans G. Feichtinger

In Theoretical Computer Science

1. Hans G. Feichtinger

Citations in the corpus

• Decay properties for functions of matrices over $C^*$-algebras (2013, unknown): “Next, we note that the quaternion algebra H is a real C∗-algebra [31], not a complex one; note that H is a noncommutative division algebra, and the Gelfand–Mazur Theorem [47] states that a (complex) C∗-algebra which is a division algebra is ∗-isomorphic to C and thus it is necessarily commutative.”
• Gabor analysis over finite Abelian groups (2007, background): “Moreover the commutant of MN×N(C) is called the center of MN×N(C), see [12] for more information on finite-dimensional algebras.”