Abstract
In what follows we shall have occasion to use various classes of numbers (such as the class of all real numbers or the class of all complex numbers). Because we should not, at this early stage, commit ourselves to any specific class, we shall adopt the dodge of referring to numbers as scalars. The reader will not lose anything essential if he consistently interprets scalars as real numbers or as complex numbers; in the examples that we shall study both classes will occur. To be specific (and also in order to operate at the proper level of generality) we proceed to list all the general facts about scalars that we shall need to assume.
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© 1987 Springer-Verlag New York Inc.
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Halmos, P.R. (1987). Spaces. In: Finite-Dimensional Vector Spaces. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6387-6_1
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DOI: https://doi.org/10.1007/978-1-4612-6387-6_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6389-0
Online ISBN: 978-1-4612-6387-6
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