( t -)orthogonality in p -adic Banach spaces

Sabine Borrey

Annales mathématiques Blaise Pascal (1995)

  • Volume: 2, Issue: 1, page 61-71
  • ISSN: 1259-1734

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Borrey, Sabine. "($t$-)orthogonality in $p$-adic Banach spaces." Annales mathématiques Blaise Pascal 2.1 (1995): 61-71. <http://eudml.org/doc/79131>.

@article{Borrey1995,
author = {Borrey, Sabine},
journal = {Annales mathématiques Blaise Pascal},
keywords = {orthogonality; distances to convex hulls; absolutely convex; weakly - compact subset; Hahn-Banach extension property; compactoidness},
language = {eng},
number = {1},
pages = {61-71},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {($t$-)orthogonality in $p$-adic Banach spaces},
url = {http://eudml.org/doc/79131},
volume = {2},
year = {1995},
}

TY - JOUR
AU - Borrey, Sabine
TI - ($t$-)orthogonality in $p$-adic Banach spaces
JO - Annales mathématiques Blaise Pascal
PY - 1995
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 2
IS - 1
SP - 61
EP - 71
LA - eng
KW - orthogonality; distances to convex hulls; absolutely convex; weakly - compact subset; Hahn-Banach extension property; compactoidness
UR - http://eudml.org/doc/79131
ER -

References

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  1. [1] Borrey, S. : Weakly c'-compact subsets of non-archimedean Banach spaces over a spherically complete field. Collect. Math. (Univ. de Barcelona) 40, 1, 31-53. (1989) Zbl0706.46060MR1078090
  2. [2] Borrey, S. : On the Krein-Milman theorem in vector spaces over a non-archimedean valued field K. Indag. Mathem., N.S., 1 (2), 169-178. (1990) Zbl0755.46043MR1060824
  3. [3] Borrey, S. : Weak c'-compactness in (strongly) polar Banach spaces over a non-archimedean, densely valued field. Lecture Notes in pure and applied Mathematics, Vol. 137, entitled P-adic functional analysis and edited by J.M. Bayod, J. Martinez-Maurica and N. De grande-De Kimpe, 31-46. (1992) Zbl0787.46066MR1152567
  4. [4] Borrey, S. : Non-archimedean Banach spaces over trivially valued fields. P-adic functional analysis, Editorial Universidad de Santiago, Chile, 17 - 31. (1994) 
  5. [5] Borrey, S. and Schikhof, W.H. : Weak and strong c-compactness in non- archimedean banach spaces. Simon Stevin, a quarterly journal of Pure and applied Mathematics, Vol. 67 (1993), Supplement. (1993) Zbl0812.46077MR1286243
  6. [6] N. DE GRANDE-DE KIMPE, and C. Perez-Garcia, : Weakly closed subspaces and the Hahn-Banach extension property in p-adic analysis. Proc. of the Kon. Ned. Akad. v. Wetenschappen, A91 (3), 253-261. (1988) Zbl0678.46055MR964832
  7. [7] N. DE GRANDE-DE KIMPE, C. Perez-Garcia, and W.H. Schikhof, : P-adic t-frames and (FM) spaces. Canadian Math. Bull., Vol. 35 (4), 475 - 483. (1992) Zbl0739.46057MR1191506
  8. [8] Schikhof, W.H. : Weak c'-compactness in p-adic Banach spaces. Report 8648, Dep. of Math., Catholic University, Toemooiveld, 6525 EDNijmegen, The Netherlands. (1986) MR1103817
  9. [9] Schikhof, W.H. : Locally convex spaces over non-spherically complete valued fields. Bull. Soc. Math. Belg., Série B, 38, 187-244. (1986) Zbl0615.46071MR871313
  10. [10] Schikhof, W.H. : A complementary variant of c'-compactness in p-adic functional analysis. Report 8647, same address as [8]. (1986) 
  11. [11] A.C.M. Van Rooij, : Notes on p-adic Banach spaces, I - V. Report 7633, same address as [8]. (1976) 
  12. [12] A.C.M. Van Rooij, : Non-archimedean functional analysis. Pure and applied Mathematics, A program of Monographs, Textbooks and lecture notes, Marcel Dekker Inc. (1978) Zbl0396.46061MR512894

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