Isometries of a function space
It is proved here that an isometry on the subset of all positive functions of L1⋂Lp(ℝ) can be characterized by means of a function h together with a Borel measurable mapping ϕ of ℝ, thus generalizing the Banach-Lamparti theorem of Lp spaces.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171287000735 |
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