On the Existence of a Norm Weaker than a Given Family of Norms on a Vector Space

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Authors

  • S. V. University, Tirupati ,IN

DOI:

https://doi.org/10.18311/jims/1958/16975

Abstract

Let Ni(x) be a sequence of norms defined over a vector space E. Let us consider all those linear topologies T over E which are weaker than Ni(x) for all i. (For brevity Ni(x) is used to denote the norm as well as the corresponding topology). These include the lattice product tolopogy [3] of the Ni(x), i.e. the strongest topology weaker than each of the Ni(x) topologies.

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Published

1958-06-01

How to Cite

Subba Rao, M. V. (1958). On the Existence of a Norm Weaker than a Given Family of Norms on a Vector Space. The Journal of the Indian Mathematical Society, 22(2), 53–58. https://doi.org/10.18311/jims/1958/16975

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