Non-reflexive pentagon subspace lattices

M. Lambrou; W. Longstaff

Studia Mathematica (1997)

  • Volume: 125, Issue: 2, page 187-199
  • ISSN: 0039-3223

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Lambrou, M., and Longstaff, W.. "Non-reflexive pentagon subspace lattices." Studia Mathematica 125.2 (1997): 187-199. <http://eudml.org/doc/216432>.

@article{Lambrou1997,
abstract = {},
author = {Lambrou, M., Longstaff, W.},
journal = {Studia Mathematica},
keywords = {pentagon subspace lattice; gap-dimension; nest; atomic Boolean algebra},
language = {eng},
number = {2},
pages = {187-199},
title = {Non-reflexive pentagon subspace lattices},
url = {http://eudml.org/doc/216432},
volume = {125},
year = {1997},
}

TY - JOUR
AU - Lambrou, M.
AU - Longstaff, W.
TI - Non-reflexive pentagon subspace lattices
JO - Studia Mathematica
PY - 1997
VL - 125
IS - 2
SP - 187
EP - 199
AB -
LA - eng
KW - pentagon subspace lattice; gap-dimension; nest; atomic Boolean algebra
UR - http://eudml.org/doc/216432
ER -

References

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  1. [1] P. A. Fillmore and J. P. Williams, On operator ranges, Adv. Math. 7 (1971), 254-281. 
  2. [2] E. Fischer, Intermediate Real Analysis, Springer, New York, 1983. Zbl0506.26002
  3. [3] C. Foiaş, Invariant para-closed subspaces, Indiana Univ. Math. J. 21 (1972), 881-907. Zbl0259.47005
  4. [4] P. R. Halmos, Ten problems in Hilbert space, Bull. Amer. Math. Soc. 76 (1970), 887-933. Zbl0204.15001
  5. [5] P. R. Halmos, Reflexive lattices of subspaces, J. London Math. Soc. 4 (1971), 257-263. Zbl0231.47003
  6. [6] W. E. Longstaff and P. Rosenthal, On two questions of Halmos concerning subspace lattices, Proc. Amer. Math. Soc. 75 (1979), 85-86. Zbl0404.47004
  7. [7] E. Nordgren, M. Radjabalipour, H. Radjavi and P. Rosenthal, On invariant operator ranges, Trans. Amer. Math. Soc. 251 (1979), 389-398. Zbl0412.47003
  8. [8] S.-C. Ong, Converse of a theorem of Foiaş and reflexive lattices of operator ranges, Indiana Univ. Math. J. 30 (1981), 57-63. Zbl0427.47002

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