Abstract
A vector in an N-dimensional space can always be resolved into components on a set of basis vectors. These basis vectors are linearly independent and span the N-dimensional space. Many of the properties of such finite-dimensional spaces can be extended to a study of vector spaces with an infinite number of dimensions. These spaces utilize continuous functions as basis vectors.
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© 1989 Springer Science+Business Media New York
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Starzak, M.E. (1989). Function Spaces. In: Mathematical Methods in Chemistry and Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2082-9_2
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DOI: https://doi.org/10.1007/978-1-4899-2082-9_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-2084-3
Online ISBN: 978-1-4899-2082-9
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