THE UNIFORM BOUNDEDNESS PRINCIPLE IN SOME TOPOLOGICAL VECTOR GROUPS

Guang Gui DING

Journal of Systems Science & Complexity ›› 2000, Vol. 13 ›› Issue (3) : 292-301.

PDF(489 KB)
PDF(489 KB)
Journal of Systems Science & Complexity ›› 2000, Vol. 13 ›› Issue (3) : 292-301.
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THE UNIFORM BOUNDEDNESS PRINCIPLE IN SOME TOPOLOGICAL VECTOR GROUPS

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Abstract

It is shown that the famous Banach-Steinhaus theorem can be generalized to some families of nonlinear functionals defined on some topological groups and topological vector space, e.g. the F-spaced lβ(0 <β < 1) and S[a, b].

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Binary fissionable topological group / locally pseudo-bounded / second category / uniform boundedness p

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Guang Gui DING. THE UNIFORM BOUNDEDNESS PRINCIPLE IN SOME TOPOLOGICAL VECTOR GROUPS. Journal of Systems Science and Complexity, 2000, 13(3): 292-301
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