Abstract
Let V be a possibly infinite dimensional linear vector space over either the field of real or complex numbers. We shall first be interested in studying general properties of the endomorphism algebra End F (V) on V, where F is the field of real or complex numbers. The endomorphism algebra End F (V) exists independently of any further structure which may be assumed on V, such as a nondegenerate inner product induced by a quadratic form of arbitrary signature. Later we shall study the interelationship between the endomorphism algebra End F (V) and a metric structure a · b on V for vectors a, b ∈ V.
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© 1996 Birkhäuser Boston
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Sobczyk, G. (1996). Linear Transformations. In: Baylis, W.E. (eds) Clifford (Geometric) Algebras. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4104-1_4
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DOI: https://doi.org/10.1007/978-1-4612-4104-1_4
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8654-7
Online ISBN: 978-1-4612-4104-1
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