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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| Médium: | Článek |
| Jazyk: | English |
| Vydáno: |
Wiley
1987-01-01
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| Edice: | International Journal of Mathematics and Mathematical Sciences |
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| On-line přístup: | http://dx.doi.org/10.1155/S0161171287000735 |