Buhagiar, D.; Chetcuti, E.; Weber, H. Order topology on orthocomplemented posets of linear subspaces of a pre-Hilbert space. (English) Zbl 1472.46021 Ann. Mat. Pura Appl. (4) 200, No. 1, 211-228 (2021). MSC: 46C05 03G12 81P10 46L30 PDFBibTeX XMLCite \textit{D. Buhagiar} et al., Ann. Mat. Pura Appl. (4) 200, No. 1, 211--228 (2021; Zbl 1472.46021) Full Text: DOI arXiv
Buhagiar, David; Chetcuti, Emmanuel; Weber, Hans Pre-Hilbert spaces with anomalous splitting and orthogonally-closed subspace structures. (English) Zbl 1318.46011 Math. Nachr. 287, No. 14-15, 1624-1631 (2014). MSC: 46C05 81P10 PDFBibTeX XMLCite \textit{D. Buhagiar} et al., Math. Nachr. 287, No. 14--15, 1624--1631 (2014; Zbl 1318.46011) Full Text: DOI
Buhagiar, D.; Chetcuti, E.; Dvurečenskij, A. Quasi-splitting subspaces and Foulis-Randall subspaces. (English) Zbl 1273.81017 J. Math. Phys. 52, No. 12, 123508, 7 p. (2011). MSC: 81P10 46C07 51D25 54F05 PDFBibTeX XMLCite \textit{D. Buhagiar} et al., J. Math. Phys. 52, No. 12, 123508, 7 p. (2011; Zbl 1273.81017) Full Text: DOI
Buhagiar, David; Chetcuti, Emmanuel; Dvurečenskij, Anatolij Loomis-Sikorski theorem and Stone duality for effect algebras with internal state. (English) Zbl 1235.06009 Fuzzy Sets Syst. 172, No. 1, 71-86 (2011). Reviewer: Mirko Navara (Praha) MSC: 06C15 03G12 06D35 06D50 18G30 81P10 PDFBibTeX XMLCite \textit{D. Buhagiar} et al., Fuzzy Sets Syst. 172, No. 1, 71--86 (2011; Zbl 1235.06009) Full Text: DOI arXiv
Buhagiar, David; Chetcuti, Emmanuel; Dvurečenskij, Anatolij On Gleason’s theorem without Gleason. (English) Zbl 1175.81005 Found. Phys. 39, No. 6, 550-558 (2009). MSC: 81P05 81P10 PDFBibTeX XMLCite \textit{D. Buhagiar} et al., Found. Phys. 39, No. 6, 550--558 (2009; Zbl 1175.81005) Full Text: DOI
Buhagiar, David; Chetcuti, Emmanuel; Dvurečenskij, Anatolij Algebraic and measure-theoretic properties of classes of subspaces of an inner product space. (English) Zbl 1136.81003 Engesser, Kurt (ed.) et al., Handbook of quantum logic and quantum structure. Quantum structures. Amsterdam: Elsevier (ISBN 978-0-444-52870-4/hbk). 75-120 (2007). Reviewer: Isamu Dôku (Saitama) MSC: 81P10 46C05 03G12 81-02 06C15 PDFBibTeX XMLCite \textit{D. Buhagiar} et al., in: Handbook of quantum logic and quantum structure. Quantum structures. Amsterdam: Elsevier. 75--120 (2007; Zbl 1136.81003)
Buhagiar, David; Chetcuti, Emmanuel Quasi-splitting subspaces in a pre-Hilbert space. (English) Zbl 1128.46012 Math. Nachr. 280, No. 5-6, 479-484 (2007). MSC: 46C05 03G12 81P10 PDFBibTeX XMLCite \textit{D. Buhagiar} and \textit{E. Chetcuti}, Math. Nachr. 280, No. 5--6, 479--484 (2007; Zbl 1128.46012) Full Text: DOI
Buhagiar, David; Chetcuti, Emmanuel; Dvurečenskij, Anatolij Loomis-Sikorski representation of monotone \(\sigma\)-complete effect algebras. (English) Zbl 1097.06010 Fuzzy Sets Syst. 157, No. 5, 683-690 (2006). Reviewer: Vladimir Komendantsky (Cork) MSC: 06D35 03G12 03B50 PDFBibTeX XMLCite \textit{D. Buhagiar} et al., Fuzzy Sets Syst. 157, No. 5, 683--690 (2006; Zbl 1097.06010) Full Text: DOI
Chetcuti, E.; Dvurečenskij, A. Recent progress on pre-Hilbert-space logics and their measure spaces. (English) Zbl 1110.81308 Int. J. Theor. Phys. 44, No. 12, 2177-2189 (2005). MSC: 81P10 81-02 03G12 06C15 PDFBibTeX XMLCite \textit{E. Chetcuti} and \textit{A. Dvurečenskij}, Int. J. Theor. Phys. 44, No. 12, 2177--2189 (2005; Zbl 1110.81308) Full Text: DOI
Buhagiar, David; Chetcuti, Emanuel On complete-cocomplete subspaces of an inner product space. (English) Zbl 1099.81010 Appl. Math., Praha 50, No. 2, 103-114 (2005). MSC: 81P10 03G12 PDFBibTeX XMLCite \textit{D. Buhagiar} and \textit{E. Chetcuti}, Appl. Math., Praha 50, No. 2, 103--114 (2005; Zbl 1099.81010) Full Text: DOI EuDML Link
Svozil, Karl; Chetcuti, E.; Pták, P. On the (non)existence of states on orthogonally closed subspaces in an inner product space. (English) Zbl 1119.81303 Int. J. Theor. Phys. 44, No. 7, 1023-1028 (2005). MSC: 81P10 46N50 PDFBibTeX XMLCite \textit{K. Svozil} et al., Int. J. Theor. Phys. 44, No. 7, 1023--1028 (2005; Zbl 1119.81303) Full Text: DOI arXiv
Chetcuti, Emmanuel; Dvurečenskij, Anatolij Boundedness of sign-preserving charges, regularity, and the completeness of inner product spaces. (English) Zbl 1064.81004 J. Aust. Math. Soc. 78, No. 2, 199-210 (2005). MSC: 81P10 46C15 PDFBibTeX XMLCite \textit{E. Chetcuti} and \textit{A. Dvurečenskij}, J. Aust. Math. Soc. 78, No. 2, 199--210 (2005; Zbl 1064.81004) Full Text: DOI
Chetcuti, E.; Dvurečenskij, A. The state-space of the lattice of orthogonally closed subspaces. (English) Zbl 1066.46018 Glasg. Math. J. 47, No. 1, 213-220 (2005). MSC: 46C05 46L30 03G12 PDFBibTeX XMLCite \textit{E. Chetcuti} and \textit{A. Dvurečenskij}, Glasg. Math. J. 47, No. 1, 213--220 (2005; Zbl 1066.46018) Full Text: DOI
Buhagiar, David; Chetcuti, Emmanuel On isomorphisms of inner product spaces. (English) Zbl 1065.03047 Math. Slovaca 54, No. 2, 109-117 (2004). Reviewer: Sylvia Pulmannová (Bratislava) MSC: 03G12 06C15 81P10 PDFBibTeX XMLCite \textit{D. Buhagiar} and \textit{E. Chetcuti}, Math. Slovaca 54, No. 2, 109--117 (2004; Zbl 1065.03047) Full Text: EuDML
Chetcuti, Emmanuel; Dvurečenskij, Anatolij The existence of finitely additive states on orthogonally closed subspaces of incomplete inner product spaces. (English) Zbl 1060.46017 Lett. Math. Phys. 67, No. 1, 75-80 (2004). MSC: 46C15 81P10 46N50 PDFBibTeX XMLCite \textit{E. Chetcuti} and \textit{A. Dvurečenskij}, Lett. Math. Phys. 67, No. 1, 75--80 (2004; Zbl 1060.46017) Full Text: DOI
Chetcuti, Emmanuel; Dvurečenskij, Anatolij A finitely additive state criterion for the completeness of inner product spaces. (English) Zbl 1041.46014 Lett. Math. Phys. 64, No. 3, 221-227 (2003). MSC: 46C15 81P10 46N50 PDFBibTeX XMLCite \textit{E. Chetcuti} and \textit{A. Dvurečenskij}, Lett. Math. Phys. 64, No. 3, 221--227 (2003; Zbl 1041.46014) Full Text: DOI
Chetcuti, Emmanuel; Dvurečenskij, Anatolij Range of charges on orthogonally closed subspaces of an inner product space. (English) Zbl 1048.81013 Int. J. Theor. Phys. 42, No. 9, 1927-1942 (2003). Reviewer: Horst Szambien (Garbsen) MSC: 81P10 06C15 03G12 15A63 PDFBibTeX XMLCite \textit{E. Chetcuti} and \textit{A. Dvurečenskij}, Int. J. Theor. Phys. 42, No. 9, 1927--1942 (2003; Zbl 1048.81013) Full Text: DOI