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" Theorem 3.B (The uniform boundedness theorem). Let F be a nonempty set of continuous maps F: X - Y, where X is a Banach space over К and Y is a normed space over K. "
Nonsmooth Variational Problems and Their Inequalities: Comparison Principles ... - Page 13
by Siegfried Carl, Vy Khoi Le, Dumitru Motreanu - 2007 - 398 pages
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Applied Functional Analysis: Main Principles and Their Applications

Eberhard Zeidler - Mathematics - 1995 - 428 pages
...Hence / is not an interior point of Л/„. D 3.3 The Uniform Boundedness Theorem Theorem 3.B (The uniform boundedness theorem). Let F be a nonempty...continuous maps F: X - Y, where X is a Banach space over К and Y is a normed space over K. Suppose that sup ||Fu|| < oo for all и € X. 3.3 The Uniform...
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Applied Functional Analysis: Main Principles and Their Applications

Eberhard Zeidler - Mathematics - 1995 - 428 pages
...interior point of M n . D 3.3 The Uniform Boundedness Theorem Theorem 3.B IThe uniform boundedw-ss theorem). Let F be a nonempty set of continuous maps F: X — V, where X is a Banach space over K and Y is a normed space over K. Suppose that sup ||Fu|| < oo...
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