On isomorphisms of inner product spaces

David Buhagiar; Emmanuel Chetcuti

Mathematica Slovaca (2004)

  • Volume: 54, Issue: 2, page 109-117
  • ISSN: 0232-0525

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Buhagiar, David, and Chetcuti, Emmanuel. "On isomorphisms of inner product spaces." Mathematica Slovaca 54.2 (2004): 109-117. <http://eudml.org/doc/32380>.

@article{Buhagiar2004,
author = {Buhagiar, David, Chetcuti, Emmanuel},
journal = {Mathematica Slovaca},
keywords = {Hilbert space; inner product space; isomorphisms of inner product spaces},
language = {eng},
number = {2},
pages = {109-117},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On isomorphisms of inner product spaces},
url = {http://eudml.org/doc/32380},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Buhagiar, David
AU - Chetcuti, Emmanuel
TI - On isomorphisms of inner product spaces
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 2
SP - 109
EP - 117
LA - eng
KW - Hilbert space; inner product space; isomorphisms of inner product spaces
UR - http://eudml.org/doc/32380
ER -

References

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  1. BUHAGIAR D.-CHETCUTI E., On complete-cocomplete subspaces of an inner product space, Appl. Math. 48 (2003) (To appear). Zbl1099.81010MR2125153
  2. CHETCUTI E., Completeness Criteria for Inner Product Spaces, MSc. Thesis, University of Malta, 2002. 
  3. DVUREČENSKIJ A., Gleason's Theorem and Its Applications, Kluwer Acad. Publ./Ister Science Press, Dordrecht/Bratislava, 1992. (1992) 
  4. GLEASON A. M., Measures on the closed subspaces of a Hilbert space, J. Math. Mech. 6 (1957), 885-893. (1957) Zbl0078.28803MR0096113
  5. HAMHALTER J.-PTÁK P., A completeness criterion for inner product spaces, Bull. London Math. Soc. 19 (1987), 259-263. (1987) Zbl0601.46027MR0879514
  6. PTÁK P.-WEBER H., Lattice properties of subspace families in an inner product spaces, Proc. Amer. Math. Soc. 129 (2001), 2111-2117. MR1825924
  7. PTÁK P.-PULMANNOVÁ S., Orthomodular Structures as Quantum Logics, Kluwer Acad. Publ., Dordrecht, 1991. (1991) Zbl0743.03039MR1176314
  8. WIGNER E. P., Group Theory and its Applications to Quantum Mechanics of Atomic Spectra, Acad. Press. Inc, New York, 1959. (1959) MR0106711

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