Uniformly Continuous Superposition Operators In The Space Of Functions Of Bounded n-Dimensional Φ-Variation
We prove that if a superposition operator maps a subset of the space of all metric-vector-space-valued-functions of bounded n-dimensional Φ-variation into another such space, and is uniformly continuous, then the generating function of the operator is an affine function in the functional variable
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2014-03-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/dema.2014.47.issue-1/dema-2014-0005/dema-2014-0005.xml?format=INT |