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Linear Spaces and Linear Operators

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Book cover Applied Analysis

Part of the book series: Mathematics and Its Applications ((MAIA,volume 31))

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Abstract

The present chapter is concerned with the basic setting for a great deal of modern mathematical analysis and applied mathematics: the linear or vector space. In a linear space, addition, subtraction, magnification and contraction of elements are all possible, and sometimes even multiplication between elements is possible. In what follows we will use the standard terminology employed by mathematicians, although not in any subtle way. In this way the standard mathematical language should become familiar, and will be part of the reader’s vocabulary.

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References

  1. S. Banach, “Operations Lineaires,” Monografje Matematyczne, Warsaw, 1932.

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  2. N. Dunford and J.T. Schwartz, “Linear Operators, vol. 1,” Interscience, New York, 1958.

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  8. A.E. Taylor, “Introduction to Functional Analysis,” John Wiley and Sons, New York, 1958.

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© 1986 D. Reidel Publishing Company, Dordrecht, Holland

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Krall, A.M. (1986). Linear Spaces and Linear Operators. In: Applied Analysis. Mathematics and Its Applications, vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4748-1_2

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  • DOI: https://doi.org/10.1007/978-94-009-4748-1_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-277-2342-0

  • Online ISBN: 978-94-009-4748-1

  • eBook Packages: Springer Book Archive

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