Representation of continuous functions and its applications (Q2442703)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representation of continuous functions and its applications |
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Representation of continuous functions and its applications (English)
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1 April 2014
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The author proves a representation of any continuous, real-valued function, defined over an arbitrary real Hilbert space by a continuous operator, with the main aim of the bilateral transfer for some properties. As applications, two versions of the sandwich theorem type and a characterization for the semi-continuous functions are given together with a separation result for the closed sets.
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continuous function
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Hilbert space
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representation (sandwich, separation) theorem
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