On Orthogonally Additive Functions With Big Graphs
Annales Mathematicae Silesianae (2017)
- Volume: 31, Issue: 1, page 57-62
- ISSN: 0860-2107
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topKarol Baron. "On Orthogonally Additive Functions With Big Graphs." Annales Mathematicae Silesianae 31.1 (2017): 57-62. <http://eudml.org/doc/288498>.
@article{KarolBaron2017,
abstract = {Let E be a separable real inner product space of dimension at least 2 and V be a metrizable and separable linear topological space. We show that the set of all orthogonally additive functions mapping E into V and having big graphs is dense in the space of all orthogonally additive functions from E into V with the Tychonoff topology.},
author = {Karol Baron},
journal = {Annales Mathematicae Silesianae},
keywords = {orthogonal additivity; inner product space; linear topological space; Tychonoff topology; big graph; dense set},
language = {eng},
number = {1},
pages = {57-62},
title = {On Orthogonally Additive Functions With Big Graphs},
url = {http://eudml.org/doc/288498},
volume = {31},
year = {2017},
}
TY - JOUR
AU - Karol Baron
TI - On Orthogonally Additive Functions With Big Graphs
JO - Annales Mathematicae Silesianae
PY - 2017
VL - 31
IS - 1
SP - 57
EP - 62
AB - Let E be a separable real inner product space of dimension at least 2 and V be a metrizable and separable linear topological space. We show that the set of all orthogonally additive functions mapping E into V and having big graphs is dense in the space of all orthogonally additive functions from E into V with the Tychonoff topology.
LA - eng
KW - orthogonal additivity; inner product space; linear topological space; Tychonoff topology; big graph; dense set
UR - http://eudml.org/doc/288498
ER -
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