Hager, Anthony W.; Wynne, Brian Sufficiently many projections in Archimedean vector lattices with weak unit. (English) Zbl 07960496 Positivity 29, No. 1, Paper No. 6, 15 p. (2025). MSC: 46A40 06F20 54D35 54H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boulabiar, Karim A structure theorem for truncations on an Archimedean vector lattice. (English) Zbl 07877923 Algebra Univers. 85, No. 3, Paper No. 31, 13 p. (2024). MSC: 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Hager, Anthony W.; Wynne, Brian Hereditarily projectable Archimedean lattice-ordered groups with unit. (English) Zbl 1540.54011 Quaest. Math. 47, Suppl., S179-S193 (2024). Reviewer: Bikram Banerjee (Kolkata) MSC: 54C40 06F20 08C05 46A40 × Cite Format Result Cite Review PDF Full Text: DOI
Hager, Anthony W.; Wynne, Brian The Freudenthal spectral theorem and sufficiently many projections in Archimedean vector lattices. (English) Zbl 1546.46005 Positivity 28, No. 2, Paper No. 15, 14 p. (2024). MSC: 46A40 06F20 54D35 54H10 × Cite Format Result Cite Review PDF Full Text: DOI
Lipecki, Zbigniew Cardinality of order intervals in linear lattices and of their sets of extreme points. (English) Zbl 07797581 Colloq. Math. 174, No. 2, 203-215 (2023). MSC: 06F20 46A40 46B42 46E05 52A07 06E99 × Cite Format Result Cite Review PDF Full Text: DOI
Ball, Richard N. Structural aspects of truncated Archimedean vector lattices: good sequences, simple elements. (English) Zbl 1538.06024 Commentat. Math. Univ. Carol. 62, No. 1, 95-134 (2021). Reviewer: Mohamed Ali Toumi (Bizerte) MSC: 06F20 46A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Toumi, Mohamed Ali When the range of every orthomorphism is an order ideal. (English) Zbl 1485.46009 Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 4289-4302 (2020). MSC: 46A40 06F25 × Cite Format Result Cite Review PDF Full Text: DOI
Hager, Anthony W.; Scowcroft, Philip Essential adjunction of a strong unit to an Archimedean lattice-ordered group. (English) Zbl 1481.06041 Algebra Univers. 81, No. 3, Paper No. 37, 17 p. (2020). MSC: 06F20 03E17 46A40 54C40 54D45 54G05 54H10 × Cite Format Result Cite Review PDF Full Text: DOI
Laustsen, Niels Jakob; Troitsky, Vladimir G. Vector lattices admitting a positively homogeneous continuous function calculus. (English) Zbl 1460.46004 Q. J. Math. 71, No. 1, 281-294 (2020). MSC: 46A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Toumi, Mohamed Ali Dedekind complete unital \(f\)-algebras on which every band preserving operator is order bounded. (English) Zbl 1459.06013 Houston J. Math. 45, No. 1, 39-54 (2019). MSC: 06F25 47B65 × Cite Format Result Cite Review PDF
Ball, R. N.; Hager, A. W. The completeness characterization of \(C(\mathcal{L})\), \(\mathcal{L}\) a locale. (English) Zbl 1473.06005 Positivity 23, No. 1, 89-95 (2019). MSC: 06D22 06F20 18A40 46A40 46E05 54A20 54B35 54C30 × Cite Format Result Cite Review PDF Full Text: DOI
Polat, Faruk; Toumi, Mohamed Ali Characterizations of finite dimensional Archimedean vector lattices. (English) Zbl 1463.47120 Vladikavkaz. Mat. Zh. 20, No. 2, 86-94 (2018). MSC: 47B60 16E40 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Hager, Anthony W.; McGovern, Warren Wm. The Yosida space and representation of the projectable hull of an Archimedean \(\ell\)-group with weak unit. (English) Zbl 1423.06058 Quaest. Math. 40, No. 1, 57-61 (2017). MSC: 06F20 46A40 54D35 × Cite Format Result Cite Review PDF Full Text: DOI
Ball, Richard N.; Hager, Anthony W.; Johnson, Donald G.; Madden, James J.; McGovern, Warren Wm. The Yosida space of the vector lattice hull of an Archimedean \(\ell\)-group with unit. (English) Zbl 1401.06020 Houston J. Math. 43, No. 3, 1019-1030 (2017). MSC: 06F20 46A40 54B35 18A40 54C30 54D30 × Cite Format Result Cite Review PDF
Boccuto, Antonio; Di Nola, Antonio; Vitale, Gaetano Affine representations of \(\ell\)-groups and MV-algebras. (English) Zbl 1420.06012 Algebra Univers. 78, No. 4, 563-577 (2017). MSC: 06B15 06F20 06D35 46B40 × Cite Format Result Cite Review PDF Full Text: DOI
Hager, Anthony W.; McGovern, Warren Wm. The projectable hull of an Archimedean \(\ell\)-group with weak unit. (English) Zbl 1423.06057 Categ. Gen. Algebr. Struct. Appl. 7, No. 1, 165-179 (2017). MSC: 06F20 46A40 54D35 × Cite Format Result Cite Review PDF
Hager, Anthony W.; Madden, James J. Comments on monoreflections in unital Archimedean lattice-ordered groups and rings. (English) Zbl 1436.06047 Quaest. Math. 39, No. 8, 1093-1099 (2016). MSC: 06F20 18A40 46A40 54F15 18A20 × Cite Format Result Cite Review PDF Full Text: DOI
Hager, Anthony W.; Madden, James J. The \(H\)-closed monoreflections, implicit operations, and countable composition, in Archimedean lattice-ordered groups with weak unit. (English) Zbl 1403.06027 Appl. Categ. Struct. 24, No. 5, 605-617 (2016). MSC: 06F20 18A40 46A40 54F15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jinlu Iterative fixed point theorems and their applications to ordered variational inequalities on vector lattices. (English) Zbl 1382.47007 Fixed Point Theory 17, No. 2, 401-412 (2016). MSC: 47H07 46A40 47H10 49J40 × Cite Format Result Cite Review PDF Full Text: Link
Toumi, Mohamed Ali Orthogonality of polynomials and orthosymmetry. (English) Zbl 1322.46031 Forum Math. 27, No. 3, 1389-1400 (2015). Reviewer: Christopher Boyd (Dublin) MSC: 46G25 47B65 46G20 46A40 × Cite Format Result Cite Review PDF Full Text: DOI
Hager, Anthony W. Some unusual epicomplete Archimedean lattice-ordered groups. (English) Zbl 1315.06020 Proc. Am. Math. Soc. 143, No. 5, 1969-1980 (2015). Reviewer: Daniele Mundici (Firenze) MSC: 06F20 03E50 06B15 08A99 18A20 46A40 54C30 54C40 54G05 × Cite Format Result Cite Review PDF Full Text: DOI
Toumi, Mohamed Ali When orthomorphisms are in the ideal center. (English) Zbl 1312.46030 Positivity 18, No. 3, 579-583 (2014). MSC: 46B42 47B65 46A40 × Cite Format Result Cite Review PDF Full Text: DOI
Ball, Richard N.; Marra, Vincenzo Unital hyperarchimedean vector lattices. (English) Zbl 1301.06041 Topology Appl. 170, 10-24 (2014). MSC: 06F20 06E15 46E25 54C30 54C40 54H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hager, Anthony W. \(*\)-maximum lattice-ordered groups. (English) Zbl 1309.06010 Rocky Mt. J. Math. 43, No. 6, 1901-1930 (2013). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 06F20 03B50 18A40 54C30 46A40 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Cristescu, Romulus Some linear operators between spaces with vector norm. (English) Zbl 1299.47075 Rev. Roum. Math. Pures Appl. 57, No. 1, 65-74 (2012). Reviewer: Ömer Gök (Istanbul) MSC: 47B60 46A40 × Cite Format Result Cite Review PDF
Toumi, Mohamed Ali Characterization of hyper-Archimedean vector lattices via disjointness preserving bilinear maps. (English) Zbl 1257.06012 Algebra Univers. 67, No. 1, 29-42 (2012). Reviewer: Karim Boulabiar (Tunis) MSC: 06F25 46A40 47B65 × Cite Format Result Cite Review PDF Full Text: DOI
Kawasaki, Toshiharu Fixed point theorems for nonexpansive mappings in a vector lattice. (English) Zbl 1231.47057 J. Nonlinear Convex Anal. 12, No. 2, 351-358 (2011). Reviewer: Mihai Turinici (Iaşi) MSC: 47H10 47H09 46A40 × Cite Format Result Cite Review PDF Full Text: Link
Kusraeva, Z. A. Representation of orthogonally additive polynomials. (English. Russian original) Zbl 1226.46043 Sib. Math. J. 52, No. 2, 248-255 (2011); translation from Sib. Mat. Zh. 52, No. 2, 315-325 (2011). Reviewer: Christopher Boyd (Dublin) MSC: 46G25 × Cite Format Result Cite Review PDF Full Text: DOI
Kawasaki, Toshiharu; Toyoda, Masashi; Watanabe, Toshikazu Schauder-Tychonoff’s fixed point theorem in a vector lattice. (English) Zbl 1241.47048 Fixed Point Theory 11, No. 1, 37-44 (2010). Reviewer: Nicoleta Negoescu (Iaşi) MSC: 47H10 54H25 × Cite Format Result Cite Review PDF
Ben Amor, Fethi On orthosymmetric bilinear maps. (English) Zbl 1204.06010 Positivity 14, No. 1, 123-134 (2010). Reviewer: Mohamed Ali Toumi (Bizerte) MSC: 06F25 46A40 47B47 47B65 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Chunhan; Wang, Feng; Wang, Xin Fixed point theorem of lattice \(\alpha (t)\)-concave-convex operators. (Chinese. English summary) Zbl 1199.47217 J. Xuzhou Norm. Univ., Nat. Sci. 26, No. 3, 43-47 (2008). MSC: 47H10 47J25 × Cite Format Result Cite Review PDF
Wickstead, A. W. Regular operators between Banach lattices. (English) Zbl 1146.47025 Boulabiar, Karim (ed.) et al., Positivity. Based on the conference Carthapos06, Tunis, Tunisia, June 8–11, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8477-7/hbk). Trends in Mathematics, 255-279 (2007). Reviewer: Ömer Gök (Istanbul) MSC: 47B65 46B42 × Cite Format Result Cite Review PDF
Florek, Jan Orthomodular lattices in ordered vector spaces. (English) Zbl 1120.06005 Algebra Univers. 56, No. 1, 57-68 (2007). Reviewer: Mirko Navara (Praha) MSC: 06C15 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Boulabiar, Karim; Buskes, Gerard A note on bijective disjointness preserving operator. (English) Zbl 1119.47308 Weber, Martin R. (ed.) et al., Proceedings of the conference “Positivity IV—Theory and Applications”, Dresden, Germany, July 25–29, 2005. Dresden, TU Dresden, Institut für Analysis (ISBN 3-86005-512-7/pbk). 29-33 (2006). Reviewer: Ömer Gök (Istanbul) MSC: 47B65 06F25 46A40 × Cite Format Result Cite Review PDF
Kusraev, A. G. On the representation of orthosymmetric bilinear operators in vector lattices. (Russian) Zbl 1299.47078 Vladikavkaz. Mat. Zh. 7, No. 4, 30-34 (2005). MSC: 47B65 × Cite Format Result Cite Review PDF Full Text: MNR
Ball, R. N.; Hager, A. W.; Johnson, D. G.; Kizanis, A. On the epicomplete monoreflection of an archimedean lattice-ordered group. (English) Zbl 1088.06013 Algebra Univers. 54, No. 4, 417-434 (2005). MSC: 06F20 18A40 46A40 54C40 × Cite Format Result Cite Review PDF Full Text: DOI
Kusraev, A. G.; Tabuev, S. N. On bilinear disjointness preserving operators. (Russian) Zbl 1094.47514 Vladikavkaz. Mat. Zh. 6, No. 1, 58-70 (2004). MSC: 47B60 46B40 46A40 47B65 46B42 × Cite Format Result Cite Review PDF Full Text: EMIS
Boulabiar, Karim; Buskes, Gerard; Triki, Abdelmajid Some recent trends and advances in certain lattice ordered algebras. (English) Zbl 1043.06012 Jarosz, Krzysztof (ed.), Function spaces. Proceedings of the 4th conference, Edwardsville, IL, USA, May 14–19, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3269-7/pbk). Contemp. Math. 328, 99-133 (2003). MSC: 06F25 06-02 46A40 46B40 16W80 46E25 × Cite Format Result Cite Review PDF
Kalauch, A. On positive-off-diagonal operators on ordered normed spaces. (English) Zbl 1055.47035 Z. Anal. Anwend. 22, No. 1, 229-238 (2003). Reviewer: Ömer Gök (Istanbul) MSC: 47B60 47B65 46B40 47D03 × Cite Format Result Cite Review PDF Full Text: DOI
Kizanis, Ann Weak units in epicompletions of Archimedean lattice-ordered groups. (English) Zbl 0979.06011 Rocky Mt. J. Math. 30, No. 4, 1323-1341 (2000). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 06F20 18A20 46A40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chen, Yuanqian; Conrad, Paul On torsion classes of lattice-ordered groups. (English) Zbl 0958.06011 Commun. Algebra 28, No. 1, 93-102 (2000). Reviewer: G.Pestov (Tomsk) MSC: 06F15 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Ball, Richard N.; Hager, Anthony W. The relative uniform density of the continuous functions in the Baire functions, and of a divisible Archimedean \(\ell\)-group in any epicompletion. (English) Zbl 0949.54016 Topology Appl. 97, No. 1-2, 109-126 (1999). Reviewer: Zbigniew Grande (Bydgoszcz) MSC: 54C30 26A21 46A40 18A40 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
Triki, Abdelmajid A note on averaging operators. (English) Zbl 0946.46006 Jarosz, Krzysztof (ed.), Function spaces. Proceedings of the 3rd conference, Edwardsville, IL, USA, May 19-23, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 232, 345-348 (1999). Reviewer: Yuri A.Abramovich (Indianapolis) MSC: 46A40 46E05 46B42 × Cite Format Result Cite Review PDF
Gorokhova, S. G. A remark on projection properties of vector lattices. (English) Zbl 0938.46005 Sib. Adv. Math. 8, No. 1, 96-98 (1998). Reviewer: S.S.Kutateladze (Novosibirsk) MSC: 46A40 46B40 × Cite Format Result Cite Review PDF
Gorokhova, S. G. A remark on projection properties of vector lattices. (English) Zbl 0964.46003 Sib. Adv. Math. 8, No. 1, 96-98 (1998). MSC: 46A40 × Cite Format Result Cite Review PDF
Huijsmans, Charles B. Finitely generated vector sublattices. (English) Zbl 0929.46008 Abramovich, Yuri (ed.) et al., Functional analysis and economic theory. Based on the special session of the conference on nonlinear analysis and its applications in engineering and economics, Samos, Greece, July 1996, dedicated to Charalambos Aliprantis on the occasion of his 50th birthday. Berlin: Springer. 79-95 (1998). Reviewer: G.Buskes (University) MSC: 46A40 × Cite Format Result Cite Review PDF
Jakubík, Ján Sequential convergences in a vector lattice. (English) Zbl 0903.46009 Math. Bohem. 123, No. 1, 33-48 (1998). MSC: 46A40 46A19 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Jakubík, Ján On sequences in vector lattices. (English) Zbl 0852.46005 Math. Bohem. 120, No. 4, 379-385 (1995). MSC: 46A40 40A05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML EMIS
Kronsbein, Gerhard Factorization of vector measures. (Faktorisierung von Vektormaßen.) (German) Zbl 0859.47016 Osnabrück: Univ., FB Math. 54 p. (1995). Reviewer: Klaus D.Schmidt (Dresden) MSC: 47A68 46G10 28B05 47B60 × Cite Format Result Cite Review PDF
de Deus Marques, João A representation theorem in vectorially normed spaces. (English) Zbl 0851.46004 Trabalhos de Investigação. 1995,1. Lisboa: Univ. Nova, Dept. de Mat. 24 p. (1995). Reviewer: E.J.Barbeau (Toronto) MSC: 46A40 46A19 06B30 54F05 × Cite Format Result Cite Review PDF
Weber, M. R. On finite and totally finite elements in vector lattices. (English) Zbl 0881.46007 Anal. Math. 21, No. 3, 237-244 (1995). Reviewer: G.Buskes (University) MSC: 46A40 × Cite Format Result Cite Review PDF Full Text: DOI
Emel’yanov, E. Yu. Ordinal envelopes of vector lattices. (English. Russian original) Zbl 0876.46004 Dokl. Math. 51, No. 1, 54-55 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 340, No. 3, 303-304 (1995). MSC: 46A40 46S20 × Cite Format Result Cite Review PDF
Emel’yanov, È. Yu. The order and regular hulls of Riesz spaces. (English. Russian original) Zbl 0878.46003 Sib. Math. J. 35, No. 6, 1101-1108 (1994); translation from Sib. Mat. Zh. 35, No. 6, 1243-1252 (1994). MSC: 46A40 46S20 03H05 × Cite Format Result Cite Review PDF Full Text: DOI
Kronsbein, Gerhard; Meyer-Nieberg, Peter Factorization of vector measures. (English) Zbl 0833.47032 Arch. Math. 63, No. 6, 541-548 (1994). Reviewer: Klaus D.Schmidt (Dresden) MSC: 47B65 28B05 46G10 × Cite Format Result Cite Review PDF Full Text: DOI
Fleischer, Isidore Functional representation of vector lattices. II. (English) Zbl 0805.46004 Arch. Math. 63, No. 4, 341-343 (1994). Reviewer: I.Fleischer (Waterloo) MSC: 46A40 46E05 06F20 54C30 54H10 × Cite Format Result Cite Review PDF Full Text: DOI
Haluška, Ján On integration in complete vector lattices. (English) Zbl 0813.46035 Tatra Mt. Math. Publ. 3, 201-212 (1993). MSC: 46G10 47B65 46A40 28B05 × Cite Format Result Cite Review PDF
Gavrilă, M. Convex operators on \(\sigma\)-ordered linear spaces. (Romanian. French summary) Zbl 0822.47039 Stud. Cercet. Mat. 45, No. 5, 415-421 (1993). MSC: 47B65 46B42 46A40 × Cite Format Result Cite Review PDF
Buskes, G.; van Rooij, A. The vector lattice cover of certain partially ordered groups. (English) Zbl 0799.46009 J. Aust. Math. Soc., Ser. A 54, No. 3, 352-367 (1993). MSC: 46A40 06F15 × Cite Format Result Cite Review PDF
Gierz, Gerhard; Shekhtman, Boris On Archimedean ordered vector spaces and a characterization of simplices. (English) Zbl 0780.46009 Proc. Am. Math. Soc. 116, No. 2, 369-375 (1992). Reviewer: S.S.Kutateladze (Novosibirsk) MSC: 46A55 46A40 × Cite Format Result Cite Review PDF Full Text: DOI
Ball, Richard N.; Hager, Anthony W.; Kizanis, Ann Epimorphic adjunction of a weak order unit to an Archimedean lattice- ordered group. (English) Zbl 0774.06009 Proc. Am. Math. Soc. 116, No. 2, 297-303 (1992). Reviewer: C.B.Huijsmans (Leiden) MSC: 06F20 46A40 18A40 × Cite Format Result Cite Review PDF Full Text: DOI
Macula, Anthony J. Free \(\alpha\)-extensions of an Archimedean vector lattice and their topological duals. (English) Zbl 0774.06011 Trans. Am. Math. Soc. 332, No. 1, 437-448 (1992). Reviewer: C.B.Huijsmans (Leiden) MSC: 06F20 18B30 46A40 06B30 54C10 54G05 06B15 54B30 × Cite Format Result Cite Review PDF Full Text: DOI
Huijsmans, C. B.; Wickstead, A. W. The inverse of band preserving and disjointness preserving operators. (English) Zbl 0787.47031 Indag. Math., New Ser. 3, No. 2, 179-183 (1992). Reviewer: I.Marek (Praha) MSC: 47B65 46A40 × Cite Format Result Cite Review PDF Full Text: DOI
Wójtowicz, Marek On a weak Freudenthal spectral theorem. (English) Zbl 0777.46006 Commentat. Math. Univ. Carol. 33, No. 4, 631-643 (1992). MSC: 46A40 06E99 06B10 × Cite Format Result Cite Review PDF Full Text: EuDML
Abramovich, Yuri A.; Filter, Wolfgang A remark on the representation of vector lattices as spaces of continuous real-valued functions. (English) Zbl 0802.46016 Acta Appl. Math. 27, No. 1-2, 23-26 (1992). MSC: 46A40 46E05 × Cite Format Result Cite Review PDF Full Text: DOI
Madden, James J. Frames associated with an abelian \(l\)-group. (English) Zbl 0765.54029 Trans. Am. Math. Soc. 331, No. 1, 265-279 (1992). Reviewer: B.Šmarda (Brno) MSC: 54H10 46A40 06F20 06B35 18C05 × Cite Format Result Cite Review PDF Full Text: DOI
Weber, Martin Finite elements in the vector lattice of Radon measures. (Finite Elemente im Vektorverband der Radonmaße.) (German) Zbl 0767.46003 Wiss. Z. Tech. Univ. Dres. 41, No. 5, 17-18 (1992). Reviewer: H.Günzler (Kiel) MSC: 46A40 46E27 28C15 06F20 28A33 28C05 × Cite Format Result Cite Review PDF
Macula, Anthony J. \(\alpha\)-Dedekind complete archimedean vector lattices versus \(\alpha\)- quasi-\(F\) spaces. (English) Zbl 0774.06010 Topology Appl. 44, No. 1-3, 217-234 (1992). Reviewer: C.B.Huijsmans (Leiden) MSC: 06F20 18B30 46A40 54G05 54C10 54B30 06B15 × Cite Format Result Cite Review PDF Full Text: DOI
Ohno, Takeshi Weak compactness in the classes of strengthened \(\sigma\)-order continuous linear functionals of Riesz spaces. (English) Zbl 0778.46010 Indag. Math., New Ser. 2, No. 1, 79-87 (1991). Reviewer: A.G.Kusraev (Novosibirsk) MSC: 46A40 46A20 47B60 × Cite Format Result Cite Review PDF Full Text: DOI
Lavrič, Boris Orthomorphisms on Riesz spaces of Riesz space-valued functions. (English) Zbl 0774.46010 Math. Balk., New Ser. 5, No. 1, 15-19 (1991). MSC: 46A40 46B42 × Cite Format Result Cite Review PDF
Huijsmans, C. B. Lattice-ordered algebras and \({\mathfrak f}\)-algebras: A survey. (English) Zbl 0789.06012 Positive operators, Riesz spaces, and economics, Proc. Conf., Pasadena/CA (USA) 1990, Stud. Econ. Theory 2, 151-169 (1991). Reviewer: W.A.J.Luxemburg (Pasadena) MSC: 06F25 06-02 46H99 46A40 × Cite Format Result Cite Review PDF
Abramovich, Y. A.; Lipecki, Z. On lattices and algebras of simple functions. (English) Zbl 0759.46003 Commentat. Math. Univ. Carol. 31, No. 4, 627-635 (1990). MSC: 46A40 06F20 28A20 × Cite Format Result Cite Review PDF Full Text: EuDML
Lavrič, Boris On order principal modules. (English) Zbl 0751.46031 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 36, No. 3, 177-182 (1990). MSC: 46H25 46A40 × Cite Format Result Cite Review PDF
Fleischer, Isidore Functional representation of vector lattices. (English) Zbl 0743.46005 Proc. Am. Math. Soc. 108, No. 2, 471-478 (1990). MSC: 46A40 06F20 46B40 46E30 54C30 54H10 46E05 × Cite Format Result Cite Review PDF Full Text: DOI
Dănet, Nicolae On absolutely (\(\rho\) )-summing operators. (English) Zbl 0731.47019 Rev. Roum. Math. Pures Appl. 35, No. 4, 311-319 (1990). Reviewer: V.Tarieladze (Tbilisi) MSC: 47B10 46A40 × Cite Format Result Cite Review PDF
Ball, Richard N.; Hager, Anthony W. Epicomplete archimedean l-groups and vector lattices. (English) Zbl 0713.06006 Trans. Am. Math. Soc. 322, No. 2, 459-478 (1990). Reviewer: N.Ya.Medvedev MSC: 06F15 54C40 46A40 × Cite Format Result Cite Review PDF Full Text: DOI
Bernau, S. J.; Huijsmans, C. B. Almost f-algebras and d-algebras. (English) Zbl 0707.06009 Math. Proc. Camb. Philos. Soc. 107, No. 2, 287-308 (1990). Reviewer: R.S.Pierce MSC: 06F25 46A40 × Cite Format Result Cite Review PDF Full Text: DOI
Ball, Richard N.; Hager, Anthony W. Epicompletion of Archimedean l-groups and vector lattices with weak unit. (English) Zbl 0696.06011 J. Aust. Math. Soc., Ser. A 48, No. 1, 25-56 (1990). Reviewer: N.Ya.Medvedev MSC: 06F20 46A40 54C40 18A40 54G05 × Cite Format Result Cite Review PDF
Glass, A. M. W. (ed.); Holland, W. Charles (ed.) [Holland, W. C.; Weispfenning, Volker; Mott, J. L.; Anderson, M.; Conrad, P.; Martinez, J.; Ball, R. N.; Hager, A. W.; McCleary, S. H.; Reilly, N. R.; Powell, W. B.; Tsinakis, C.; Glass, A. M. W.] Lattice-ordered groups. Advances and techniques. (English) Zbl 0705.06001 Mathematics and Its Applications, 48. Dordrecht etc: Kluwer Academic Publishers. xix, 380 p. Dfl 180.00; £59.00; $ 98.00 (1989). Reviewer: M.Droste MSC: 06-02 06F15 06F20 06-06 06-01 03C60 × Cite Format Result Cite Review PDF
Grobler, J. J.; Labuschagne, C. C. A. The tensor product of Archimedean ordered vector spaces. (English) Zbl 0663.46006 Math. Proc. Camb. Philos. Soc. 104, No. 2, 331-345 (1988). Reviewer: B.Riecan MSC: 46A40 46M05 46B42 × Cite Format Result Cite Review PDF Full Text: DOI
Popovici, Mircea Operator spaces with Riesz property. (Romanian. English summary) Zbl 0643.47042 Stud. Cercet. Mat. 40, No. 2, 143-153 (1988). MSC: 47B60 47L07 46A40 × Cite Format Result Cite Review PDF
Koldunov, A. V.; Rotkovich, G. Ya. Archimedean lattice ordered groups with splitting property. (Russian) Zbl 0628.06014 Czech. Math. J. 37(112), 7-18 (1987). Reviewer: T.Sturm MSC: 06F15 20F60 46A40 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Meyer, M. Quelques résultats récents sur les orthomorphismes généralisés. (Some recent results on generalized orthomorphisms). (French) Zbl 0633.47023 Algebra and order, Proc. 1st Int. Symp., Luminy-Marseilles/France 1984, Res. Expo. Math. 14, 231-236 (1986). Reviewer: E.J.Barbeau MSC: 47B60 46A40 × Cite Format Result Cite Review PDF
Potocký, Rastislav On the expected value of vector lattice valued random variables. (English) Zbl 0621.60002 Math. Slovaca 36, 401-405 (1986). MSC: 60A99 28B05 46A40 44A30 × Cite Format Result Cite Review PDF Full Text: EuDML
Koldunov, A. V. \(\Pi\)-Dedekind extensions of vector lattices. (Russian) Zbl 0617.06005 Optimizatsiya 37(54), 51-57 (1986). Reviewer: A.Sterna-Karwat MSC: 06B30 46A40 54F05 06B23 46B42 46E05 × Cite Format Result Cite Review PDF
Schwartz, Niels Lattice-ordered fields. (English) Zbl 0603.06009 Order 3, 179-194 (1986). Reviewer: H.-J.Kowalsky MSC: 06F25 12J15 11T55 12F05 06F20 × Cite Format Result Cite Review PDF Full Text: DOI
McPolin, P. T. N.; Wickstead, A. W. Relatively central operators on Archimedean vector lattices. II. (English) Zbl 0585.47027 J. Aust. Math. Soc., Ser. A 40, 287-298 (1986). MSC: 47B60 46A40 47A10 × Cite Format Result Cite Review PDF
McPolin, P. T. N.; Wickstead, A. W. Relatively central operators on Archimedean vector lattices. II. (English) Zbl 0564.47018 J. Aust. Math. Soc., Ser. A (to appear). MSC: 47B60 46A40 47A10 × Cite Format Result Cite Review PDF
Sukhanov, V. V. On existence of disjoint bases in K-spaces. (Russian) Zbl 0631.46007 Applied methods of functional analysis, Interuniv. Collect. sci. Works, Voronezh 1985, 141-146 (1985). Reviewer: M.Ostrovskij MSC: 46A40 46B15 06F20 46B42 × Cite Format Result Cite Review PDF
McPolin, P. T. N.; Wickstead, A. W. Relatively central operators on Archimedean vector lattices. III. (English) Zbl 0564.47019 Q. J. Math., Oxf. II. Ser. 36, 75-89 (1985). MSC: 47B60 46A40 × Cite Format Result Cite Review PDF Full Text: DOI
Veksler, A. I. Absolutes and vector lattices. (English) Zbl 0581.46004 Topology and measure IV, Proc. 4th Conf., Trassenheide/GDR 1983, Pt. 2, Wiss. Beitr. Ernst-Moritz-Arndt-Univ. Greifswald, 217-235 (1984). MSC: 46A40 54G05 46B42 54C35 × Cite Format Result Cite Review PDF
Beukers, F.; Huijsmans, C. B. Calculus in f-algebras. (English) Zbl 0555.06014 J. Aust. Math. Soc., Ser. A 37, 110-116 (1984). Reviewer: Sh.A.Ayupov MSC: 06F25 46A40 46B42 × Cite Format Result Cite Review PDF
Koldunov, A. V. Admissible elements and the 0-completion of an Archimedean vector- lattice. (Russian) Zbl 0512.46002 Funkts. Anal. 18, 80-84 (1982). MSC: 46A40 06F20 × Cite Format Result Cite Review PDF
de Jonge, Ep Bands, Riesz subspaces and projections. (English) Zbl 0509.46008 Indag. Math. 44, 201-214 (1982). MSC: 46A40 47B60 × Cite Format Result Cite Review PDF
Aliprantis, C. D.; Burkinshaw, O. Some remarks on orthomorphisms. (English) Zbl 0503.47036 Colloq. Math. 47, 255-265 (1982). MSC: 47B60 46A40 × Cite Format Result Cite Review PDF Full Text: DOI
Abramovic, Ju. A.; Gejler, V. A. On a question of Fremlin concerning order bounded and regular operators. (English) Zbl 0502.47017 Colloq. Math. 46, 15-17 (1982). MSC: 47B60 46A40 × Cite Format Result Cite Review PDF Full Text: DOI
Aron, Eleanor R.; Hager, Anthony W.; Madden, James J. Extensions of l-homomorphisms. (English) Zbl 0497.06015 Rocky Mt. J. Math. 12, 481-490 (1982). MSC: 06F20 54H10 54G05 54B30 × Cite Format Result Cite Review PDF Full Text: DOI
Cristescu, Romulus On a certain decomposition of linear operators. (English) Zbl 0486.47021 Rev. Roum. Math. Pures Appl. 27, 11-14 (1982). MSC: 47B60 46A32 46A40 × Cite Format Result Cite Review PDF
Turinici, M. A class of projective metrics on ordered linear spaces. (English) Zbl 0642.46008 Bul. Ştiinţ. Teh. Inst. Politeh. Timişoara, Ser. Mat.-Fiz. 26(40), No. 1, 19-26 (1981). MSC: 46A40 47E05 54E99 × Cite Format Result Cite Review PDF
Veksler, A. I.; Zakharov, V. K.; Koldunov, A. V. Spaces of continuous extended functions. (English. Russian original) Zbl 0505.46016 Sov. Math., Dokl. 23, 167-172 (1981); translation from Dokl. Akad. Nauk SSSR 256, 1300-1305 (1981). MSC: 46E05 46A40 54C10 54C50 × Cite Format Result Cite Review PDF
Meyer, Mathieu Les espaces vectoriels reticules intercomplets. (French) Zbl 0474.46003 Ann. Soc. Sci. Bruxelles, Sér. I 95, 93-114 (1981). MSC: 46A40 06F20 × Cite Format Result Cite Review PDF