Abstract
Let L be a linear space over a topological field K. Suppose that:
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1.
L is a topological group under addition;
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2.
the mapping \( K \times L \to L:\left( {\lambda ,x} \right) \to \lambda x \) is continuous in both variables.
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© 1976 Springer-Verlag Berlin Heidelberg
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Kirillov, A.A. (1976). Elements of Functional Analysis. In: Elements of the Theory of Representations. Grundlehren der mathematischen Wissenschaften, vol 220. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-66243-0_4
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DOI: https://doi.org/10.1007/978-3-642-66243-0_4
Publisher Name: Springer, Berlin, Heidelberg
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