Open mapping theorem for spaces of weakly additive homogeneous functionals
We establish that if X and Y are metric compacta and f : X → Y is a continuous surjective mapping, then the openness of the mapping OH ( f ): OH ( X ) → OH ( Y ) of spaces of weakly additive homogeneous functionals is equivalent to the openness of f .
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| Veröffentlicht in: | Mathematical Notes 2010-12, Vol.88 (5-6), p.655-660 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We establish that if
X
and
Y
are metric compacta and
f
:
X
→
Y
is a continuous surjective mapping, then the openness of the mapping
OH
(
f
):
OH
(
X
) →
OH
(
Y
) of spaces of weakly additive homogeneous functionals is equivalent to the openness of
f
. |
|---|---|
| ISSN: | 0001-4346 1573-8876 |
| DOI: | 10.1134/S0001434610110052 |