Abstract
Let (X, ∥ ∥ X ) and (Y, ∥ ∥ Y ) be normed spaces (real or complex). By B(X → Y) we denote the set of all continuous linear operators which map the space X into the space Y. In the set B(X → Y) we can introduce operations of addition and multiplication by scalars in the following way:
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© 1987 Springer Science+Business Media Dordrecht
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Rolewicz, S. (1987). Continuous linear operators in Banach spaces. In: Functional Analysis and Control Theory. Mathematics and its Applications, vol 29. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7758-8_3
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DOI: https://doi.org/10.1007/978-94-015-7758-8_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8423-1
Online ISBN: 978-94-015-7758-8
eBook Packages: Springer Book Archive