Bounded operators on non-Archimedian orthomodular spaces

Hans A. Keller; Hermina Ochsenius A.

Mathematica Slovaca (1995)

  • Volume: 45, Issue: 4, page 413-434
  • ISSN: 0232-0525

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Keller, Hans A., and Ochsenius A., Hermina. "Bounded operators on non-Archimedian orthomodular spaces." Mathematica Slovaca 45.4 (1995): 413-434. <http://eudml.org/doc/31711>.

@article{Keller1995,
author = {Keller, Hans A., Ochsenius A., Hermina},
journal = {Mathematica Slovaca},
keywords = {valued fields; non-archimedean norm; projection theorem; orthogonal summand; infinite-dimensional orthomodular spaces; non-archimedean valuation; operator algebra of von Neumann type},
language = {eng},
number = {4},
pages = {413-434},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Bounded operators on non-Archimedian orthomodular spaces},
url = {http://eudml.org/doc/31711},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Keller, Hans A.
AU - Ochsenius A., Hermina
TI - Bounded operators on non-Archimedian orthomodular spaces
JO - Mathematica Slovaca
PY - 1995
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 45
IS - 4
SP - 413
EP - 434
LA - eng
KW - valued fields; non-archimedean norm; projection theorem; orthogonal summand; infinite-dimensional orthomodular spaces; non-archimedean valuation; operator algebra of von Neumann type
UR - http://eudml.org/doc/31711
ER -

References

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  1. FÄSSLER-ULLMANN A., Untersuchungen zu nichtklassischen Hilbertraumen, Ph.D. Thesis, Univ. of Zürich, 1982. (1982) 
  2. GROSS H., KÜNZI U. M., On a class of orthomodular quadratic spaces, Enseign. Math. (2) 31 (1985), 187-212. (1985) Zbl0603.46030MR0819350
  3. KELLER H. A., Ein nicht-klassischer Hilbertscher Raum, Math. Z. 172 (1980), 41-49. (1980) Zbl0414.46018MR0576294
  4. KÜNZI U. M., Nonclassical Hilbert spaces over valued fields, Master's Thesis, Univ. of Zurich, 1980. (1980) 
  5. RIBENBOIM P., Théorie des valuations, Les Presses de l'Université de Montreal, 1965. (1965) Zbl0139.26201MR0249425

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