On vector-topological properties of zero-neighbourhoods of topological vector spaces

Thomas Riedrich

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 1, page 119-129
  • ISSN: 0010-2628

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Riedrich, Thomas. "On vector-topological properties of zero-neighbourhoods of topological vector spaces." Commentationes Mathematicae Universitatis Carolinae 021.1 (1980): 119-129. <http://eudml.org/doc/17020>.

@article{Riedrich1980,
author = {Riedrich, Thomas},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {topology of convergence in measure; connected sets; measurable functions},
language = {eng},
number = {1},
pages = {119-129},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On vector-topological properties of zero-neighbourhoods of topological vector spaces},
url = {http://eudml.org/doc/17020},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Riedrich, Thomas
TI - On vector-topological properties of zero-neighbourhoods of topological vector spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 1
SP - 119
EP - 129
LA - eng
KW - topology of convergence in measure; connected sets; measurable functions
UR - http://eudml.org/doc/17020
ER -

References

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  1. BOURBAKI N., Espaces vectoriels topologiques. Chap. I-II, Act. Sci. Ind. 1189, Hermann, Paris 1953. (1953) MR0054161
  2. IVES R. T., Semi-convexity and locally bounded spaces, Ph.D. Thesis, Univ. of Washington, Seattle 1957. (1957) 
  3. KLEE V., Shrinkable neighbourhoods in Hausdorff linear spaces, Math. Ann. 141 (1960), 281-285. (1960) MR0131149
  4. KLEE V., Leray-Schauder theory without local convexity, Math. Ann.141 (1960), 286-296. (1960) Zbl0096.08001MR0131150
  5. KLEE V., Connectedness in topological linear spaces, Israel J. of Mathematics 2 (1964), 127-131. (1964) Zbl0135.16102MR0179579
  6. KLEE V., BESSAGA C., Every non-normable Fréchet space is homeomorphic with all of its closed convex bodies, Note added in proof p. 166, Math. Ann. 163 (1966), 161-166. (1966) Zbl0138.37403MR0201949
  7. KÖTHE G., Topologische lineare Räume I, Springer-Verlag Berlin - Göttingen - Heidelberg I960. MR0130551
  8. LANDSBERG M., Lineare beschränkte Abbildungen von einem Produkt in einen lokal radial beschränkten Raum und ihre Filter, Math. Ann. 146 (1962), 232-248. (1962) Zbl0105.31003MR0136962
  9. LANDSBERG M., Über die Fixpunkte kompakter Abbildungen, Math. Ann. 154 (1964), 427-431. (1964) Zbl0136.12001MR0165345
  10. RIEDRICH T., Das Birkhoff-Kellogg-Theorem für lokal radial beschränkte Räume, Math. Ann. 166 (1966), 264-276. (1966) Zbl0144.17803MR0203536
  11. RIEDRICH T., Über Existenzsätze für positive Eigenwerte kompakter Abbildungen in topologischen Vektorräumen, Habilitationsschrift (unveröffentlicht), Dresden 1966. (1966) 
  12. RIEDRICH T., Vorlesungen über nichtlineare Operatorengleichungen, Teubner-Texte, Leipzig 1976. (1976) Zbl0332.47026MR0467414
  13. RIEDRICH T., Über topologische Eigenschaften von Nullumgebungen topologischer Vektorräume, Wiss. Z. TU Dresden 26 (1977), 671-672. (1977) Zbl0413.46002MR0454564

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