Liimatainen, Tony; Salo, Mikko Applications of the Stone-Weierstrass theorem in the Calderón problem. (English) Zbl 07940027 Ann. Fenn. Math. 49, No. 2, 583-600 (2024). Reviewer: Giovanni S. Alberti (Genova) MSC: 35R30 32E30 58J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Deliang The Machado-Bishop theorem in the uniform topology. (English) Zbl 07938836 J. Approx. Theory 304, Article ID 106085, 30 p. (2024). Reviewer: Hüseyin Çakallı (İstanbul) MSC: 41A65 46E40 54C20 46M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kusraev, Anatoly G.; Kutateladze, Semën S. Stone-Weierstrass approximation revisited. (English) Zbl 1548.46033 Quaest. Math. 47, Suppl., S265-S281 (2024). MSC: 46E40 46B42 46B40 46B04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bououn, Sameh The interplay between algebras and lattices: Stone-Weierstrass for illustration. (English) Zbl 1532.46001 Positivity 28, No. 1, Paper No. 3, 13 p. (2024). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 46A40 46B40 46J10 × Cite Format Result Cite Review PDF Full Text: DOI
Boulabiar, K.; Bououn, S. A Stone-Weierstrass-type theorem for truncated vector lattices of functions. (English) Zbl 1539.46005 J. Math. Sci., New York 271, No. 6, Series A, 743-748 (2023). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 46A40 46B40 × Cite Format Result Cite Review PDF Full Text: DOI
García-Máynez, Adalberto; Gary, Margarita; Pimienta, Adolfo An application of the Stone-Weierstrass theorem. (English) Zbl 1547.41017 Proyecciones 42, No. 5, 1211-1220 (2023). Reviewer: Bilal Bilalov (Baku) MSC: 41A30 54E25 54A35 54E45 × Cite Format Result Cite Review PDF Full Text: DOI
Font, Juan J.; Macario, Sergio Constructive approximation of continuous interval-valued functions. (English) Zbl 07517479 Numer. Funct. Anal. Optim. 43, No. 2, 127-144 (2022). MSC: 65-XX 41A30 65G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Bezhanishvili, Guram; Morandi, Patrick J.; Olberding, Bruce A new approach to the Katětov-Tong theorem. (English) Zbl 1491.54021 Am. Math. Mon. 129, No. 1, 66-74 (2022). Reviewer: Vladimir Tkachuk (Ciudad de México) MSC: 54D15 54C30 54D30 54D35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Izadbakhsh, Alireza; Kheirkhahan, Payam A note on the “Task-space control of robots using an adaptive Taylor series uncertainty estimator”. (English) Zbl 1480.93290 Int. J. Control 94, No. 3, 722-723 (2021). MSC: 93C85 93C40 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Barbarski, Paweł Continuous functions in rings generated by a single Darboux function. (English) Zbl 1483.26004 Real Anal. Exch. 46, No. 1, 83-98 (2021). MSC: 26A15 26A12 46E25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Schötz, Matthias Stone-Weierstrass theorems for Riesz ideals of continuous functions. (English) Zbl 1484.46028 Collect. Math. 72, No. 3, 587-603 (2021). MSC: 46E05 46E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Reggio, Luca Beth definability and the Stone-Weierstrass theorem. (English) Zbl 1532.03043 Ann. Pure Appl. Logic 172, No. 8, Article ID 102990, 27 p. (2021). MSC: 03B60 46E25 03C40 08A65 06F20 06D35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Fupinwong, Worapong Fixed point property of real unital Abelian Banach algebras and their closed subalgebras generated by an element with infinite spectrum. (English) Zbl 1486.46056 Thai J. Math. 18, No. 3, 1611-1622 (2020). Reviewer: Barry Turett (Rochester) MSC: 46J99 46J30 47H10 47H09 × Cite Format Result Cite Review PDF Full Text: Link
Thongin, Preeyaporn; Fupinwong, Worapong The fixed point property of a non-unital Abelian Banach algebra generated by an element with infinite spectrum. (English) Zbl 1486.46057 Thai J. Math. 18, No. 3, 1185-1197 (2020). Reviewer: Barry Turett (Rochester) MSC: 46J99 47H10 × Cite Format Result Cite Review PDF Full Text: Link
Stoica, George Components used in the Stone-Weierstrass theorem. (English) Zbl 1460.46017 Am. Math. Mon. 127, No. 7, 658 (2020). MSC: 46E15 46E25 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jiayin; Nurdin, Hendra I. Learning nonlinear input-output maps with dissipative quantum systems. (English) Zbl 1508.93061 Quantum Inf. Process. 18, No. 7, Paper No. 198, 36 p. (2019); correction ibid. 18, No. 11, Paper No. 354, 3 p. (2019). MSC: 93B15 81P68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Starkloff, Hans-Jörg Stone-Weierstrass theorems for random functions. (English) Zbl 1438.41051 Stud. Univ. Babeș-Bolyai, Math. 64, No. 2, 253-262 (2019). MSC: 41A65 60B11 60G07 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Deliang A note on Machado-Bishop theorem in weighted spaces with applications. (English) Zbl 1429.41033 J. Approx. Theory 247, 1-19 (2019). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A65 46E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mundici, Daniele Coherence of the product law for independent continuous events. (English) Zbl 1439.06009 Carnielli, Walter (ed.) et al., Contradictions, from consistency to inconsistency. Cham: Springer. Trends Log. Stud. Log. Libr. 47, 207-212 (2018). MSC: 06D35 × Cite Format Result Cite Review PDF Full Text: DOI
Adam, David Integer-valued polynomials on invariant sets under rotation. (Polynômes à valeurs entières sur des ensembles invariants par rotation.) (French) Zbl 1407.13020 J. Number Theory 186, 417-438 (2018). Reviewer: Ali Benhissi (Monastir) MSC: 13F20 11S05 × Cite Format Result Cite Review PDF Full Text: DOI
Timofte, Vlad; Timofte, Aida; Khan, Liaqat Ali Stone-Weierstrass and extension theorems in the nonlocally convex case. (English) Zbl 1401.46026 J. Math. Anal. Appl. 462, No. 2, 1536-1554 (2018). Reviewer: Christian Bargetz (Innsbruck) MSC: 46E40 46E10 × Cite Format Result Cite Review PDF Full Text: DOI
Asgarova, Aida Kh. On a generalization of the Stone-Weierstrass theorem. (English. French summary) Zbl 1398.46042 Ann. Math. Qué. 42, No. 1, 1-6 (2018). MSC: 46J10 × Cite Format Result Cite Review PDF Full Text: DOI
Font, Juan J.; Sanchis, Delia; Sanchis, Manuel A version of the Stone-Weierstrass theorem in fuzzy analysis. (English) Zbl 1412.41024 J. Nonlinear Sci. Appl. 10, No. 8, 4275-4283 (2017). MSC: 41A30 26E50 × Cite Format Result Cite Review PDF Full Text: DOI
Shalit, Orr Moshe A first course in functional analysis. (English) Zbl 1367.46001 Boca Raton, FL: CRC Press (ISBN 978-1-4987-7161-0/hbk; 978-1-4987-7162-7/ebook). xv, 240 p. (2017). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 46-01 47-01 × Cite Format Result Cite Review PDF Full Text: Link
Marra, Vincenzo; Reggio, Luca Stone duality above dimension zero: axiomatising the algebraic theory of \(\mathrm{C}(X)\). (English) Zbl 1376.03038 Adv. Math. 307, 253-287 (2017). Reviewer: Daniele Mundici (Firenze) MSC: 03C05 06D35 06F20 46E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andreescu, Titu; Mortici, Cristinel; Tetiva, Marian Mathematical bridges. (English) Zbl 1421.00001 Basel: Birkhäuser/Springer (ISBN 978-0-8176-4394-2/hbk; 978-0-8176-4629-5/ebook). viii, 309 p. (2017). Reviewer: Mowaffaq Hajja (Amman) MSC: 00A07 97U40 03-01 15-01 26-01 × Cite Format Result Cite Review PDF Full Text: DOI
Löhr, Wolfgang; Rippl, Thomas Boundedly finite measures: separation and convergence by an algebra of functions. (English) Zbl 1348.60140 Electron. Commun. Probab. 21, Paper No. 60, 16 p. (2016). MSC: 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Komornik, Vilmos Lectures on functional analysis and the Lebesgue integral. Translated from the French by the author. (English) Zbl 1350.46002 Universitext. London: Springer (ISBN 978-1-4471-6810-2/hbk; 978-1-4471-6811-9/ebook). xx, 403 p. (2016). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 46-01 28-01 41-01 47-01 × Cite Format Result Cite Review PDF Full Text: DOI
Niemiec, Piotr Elementary approach to homogeneous \(C^*\)-algebras. (English) Zbl 1348.46055 Rocky Mt. J. Math. 45, No. 5, 1591-1630 (2015). MSC: 46L05 46L35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Cabrer, Leonardo Manuel; Mundici, Daniele A Stone-Weierstrass theorem for MV-algebras and unital \(\ell\)-groups. (English) Zbl 1323.06011 J. Log. Comput. 25, No. 3, 683-699 (2015). Reviewer: Giacomo Lenzi (Fisciano) MSC: 06D35 06B25 06F20 03G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mostovoy, Jacob; Munguía-Villanueva, Eréndira Spaces of morphisms from a projective space to a toric variety. (English) Zbl 1350.14037 Rev. Colomb. Mat. 48, No. 1, 41-53 (2014). MSC: 14M25 58D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link Link
Hadwin, Don; Shen, Junhao Approximate double commutants and distance formulas. (English) Zbl 1302.46047 Oper. Matrices 8, No. 2, 529-553 (2014). MSC: 46L10 46L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
McGrath, Peter J. Another proof of Clairaut’s theorem. (English) Zbl 1294.26011 Am. Math. Mon. 121, No. 2, 165-166 (2014). MSC: 26B05 × Cite Format Result Cite Review PDF Full Text: DOI
Kashimoto, M. S. A note on a Stone-Weierstrass type theorem for set-valued mappings. (English) Zbl 1290.41011 J. Approx. Theory 182, 59-67 (2014). Reviewer: Vijay Gupta (New Delhi) MSC: 41A28 41A65 × Cite Format Result Cite Review PDF Full Text: DOI
Glöckner, Helge Exponential laws for ultrametric partially differentiable functions and applications. (English) Zbl 1317.26022 \(p\)-Adic Numbers Ultrametric Anal. Appl. 5, No. 2, 122-159 (2013). MSC: 26E30 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Besnard, Fabien An approximation theorem for non-decreasing functions on compact posets. (English) Zbl 1283.41027 J. Approx. Theory 172, 1-3 (2013). MSC: 41A65 54H12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bezhanishvili, Guram; Morandi, Patrick J.; Olberding, Bruce Bounded Archimedean \(\ell\)-algebras and Gelfand-Neumark-Stone duality. (English) Zbl 1314.06020 Theory Appl. Categ. 28, 435-475 (2013). Reviewer: Karim Boulabiar (Tunis) MSC: 06F25 13J25 54C30 46L05 18B30 54B30 × Cite Format Result Cite Review PDF Full Text: EMIS
Li, Qi Hui; Hadwin, Don A Bishop-Stone-Weierstrass theorem for \((\mathcal M_2(\mathbb C))^n\). (English) Zbl 1280.46040 Acta Math. Sin., Engl. Ser. 29, No. 8, 1515-1534 (2013). MSC: 46L30 46L05 × Cite Format Result Cite Review PDF Full Text: DOI
Klingler, Lee; Marshall, Mario E-sequences and the Stone-Weierstrass theorem. (English) Zbl 1261.13012 J. Number Theory 133, No. 5, 1525-1536 (2013). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 13F20 13A18 13B25 × Cite Format Result Cite Review PDF Full Text: DOI
Khan, Liaqat Ali; Al-Hamidi, Asma Thabit On a Stone-Weierstrass type theorem for \(C(X)\). (English) Zbl 1272.46042 Int. J. Pure Appl. Math. 80, No. 3, 357-361 (2012). MSC: 46J10 46J20 × Cite Format Result Cite Review PDF Full Text: Link
Niemiec, Piotr Strengthened Stone-Weierstrass type theorem. (English) Zbl 1225.41009 Opusc. Math. 31, No. 4, 645-650 (2011). MSC: 41A65 54C30 54C40 × Cite Format Result Cite Review PDF Full Text: DOI
Galindo, Jorge; Sanchis, Manuel Approximation theorems for group valued functions. (English) Zbl 1213.41013 J. Approx. Theory 163, No. 2, 183-196 (2011). Reviewer: George Stoica (Saint John) MSC: 41A30 × Cite Format Result Cite Review PDF Full Text: DOI
Altomare, Francesco Korovkin-type theorems and approximation by positive linear operators. (English) Zbl 1285.41012 Surv. Approx. Theory 5, 92-164 (2010). MSC: 41A36 46E05 47B65 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Bernués, Julio The Stone-Weierstrass theorem. (Spanish) Zbl 1238.46043 Gac. R. Soc. Mat. Esp. 13, No. 4, 705-711 (2010). Reviewer: M. Carmen Gómez-Collado (Valencia) MSC: 46J10 46J30 41A10 × Cite Format Result Cite Review PDF
Folland, Gerald B. A tale of topology. (English) Zbl 1202.54001 Am. Math. Mon. 117, No. 8, 663-672 (2010). MSC: 54-03 01A60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Brosowski, B.; Da Silva, A. R. Another proof of the Bishop-Machado theorem. (English) Zbl 1203.54022 Int. J. Funct. Anal. Oper. Theory Appl. 2, No. 1, 85-95 (2010). Reviewer: Horst Herrlich (Bremen) MSC: 54D35 32A70 × Cite Format Result Cite Review PDF Full Text: Link
Abel, Mati; Arhippainen, Jorma; Kauppi, Jukka Stone-Weierstrass type theorems for algebras containing continuous unbounded functions. (English) Zbl 1198.46025 Sci. Math. Jpn. 71, No. 1, 1-10 (2010). Reviewer: Wiesław Tadeusz Żelazko (Warszawa) MSC: 46E25 46H05 × Cite Format Result Cite Review PDF Full Text: Link
Ẓelazko, Wiesław Banach’s school and topological algebras. (English) Zbl 1220.01013 Bojarski, Bogdan (ed.) et al., Lvov Mathematical School in the period 1915–45 as seen today. Based on three Banach Center symposia held in Bȩdlewo, Poland, 2005, 2007 and 2008. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-06-5/pbk). Banach Center Publications 87, 45-51 (2009). Reviewer: Roman Duda (Wrocław) MSC: 01A72 01A60 46-03 × Cite Format Result Cite Review PDF Full Text: DOI
Naas, Josef; Tutschke, Wolfgang Great theorems and beautiful proofs in mathematics. Identity of the beautiful, the general and the applicable. 3rd corrected and expanded ed. (Große Sätze und schöne Beweise der Mathematik: Identität des Schönen, Allgemeinen, Anwendbaren.) (German) Zbl 1171.00002 Frankfurt am Main: Harri Deutsch (ISBN 978-3-8171-1822-9/pbk). vi, 204 p. (2009). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 00A05 00A35 × Cite Format Result Cite Review PDF
Briem, Eggert; Hatori, Osamu; Sidney, Stuart J. A Stone-Weierstrass theorem for Banach function spaces satisfying a certain separation property. (English) Zbl 1172.46013 J. Math. Anal. Appl. 353, No. 2, 607-613 (2009). Reviewer: Joe Howard (Portales) MSC: 46E15 46E05 × Cite Format Result Cite Review PDF Full Text: DOI
Grubba, Tanja; Weihrauch, Klaus; Xu, Yatao Effectivity on continuous functions in topological spaces. (English) Zbl 1262.03138 Dilhage, R. (ed.) et al., Proceedings of the fourth international conference on computability and complexity in analysis (CCA 2007), Siena, Italy, June 16–18, 2007. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 202, 237-254 (2008). MSC: 03F60 54C05 × Cite Format Result Cite Review PDF Full Text: DOI
Athreya, S. R.; Sunder, V. S. Measure and probability. (English) Zbl 1180.60001 Hyderabad: Universities Press; Boca Raton, FL: CRC Press (ISBN 978-1-4398-0126-0/hbk; 978-1-138-11418-0/pbk). x, 221 p. (2008). Reviewer: Ilya Pavlyukevich (Berlin) MSC: 60-01 60Axx 60Fxx 60J10 28-01 28Axx × Cite Format Result Cite Review PDF
Heinz, Sebastian Quasiconvex functions can be approximated by quasiconvex polynomials. (English) Zbl 1148.49012 ESAIM, Control Optim. Calc. Var. 14, No. 4, 795-801 (2008). MSC: 49J45 41A10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Altomare, Francesco; Cappelleti Montano, Mirella On a class of vector lattices of continuous function spaces and related approximation/density problems. (English) Zbl 1163.46018 Kato, Mikio (ed.) et al., Proceedings of the 2nd international symposium on Banach and function spaces II (ISBFS 2006), Kitakyushu, Japan, September 14–17, 2006. Yokohama: Yokohama Publishers (ISBN 978-4-946552-29-8/hbk). 25-50 (2008). MSC: 46E05 46E10 41A36 47B65 46-02 × Cite Format Result Cite Review PDF
Bilalov, B. T. On the Stone and Bishop appoximation theorems. (English. Russian original) Zbl 1135.41012 Math. Notes 81, No. 5, 590-595 (2007); translation from Mat. Zametki 81, No. 5, 660-665 (2007). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 41A65 41A28 46E15 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández-Polo, Francisco J.; Peralta, Antonio M. Compact tripotents and the Stone-Weierstrass theorem for \(C^*\)-algebras and \(JB^*\)-triples. (English) Zbl 1150.46027 J. Oper. Theory 58, No. 1, 157-173 (2007). Reviewer: Sh. A. Ayupov (Tashkent) MSC: 46L70 17C65 46B22 46L05 × Cite Format Result Cite Review PDF
Altomare, Francesco; Cappelletti Montano, Mirella On some density theorems in regular vector lattices of continuous functions. (English) Zbl 1127.46018 Collect. Math. 58, No. 2, 131-149 (2007). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 46E05 46E10 × Cite Format Result Cite Review PDF Full Text: EuDML
Arhippainen, Jorma On extensions of Stone–Weierstrass theorem. (English) Zbl 1124.46033 Mallios, Anastasios (ed.) et al., Topological algebras and their applications. Proceedings of the 5th international conference, Athens, Greece, June 27–July 1, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3868-6/pbk). Contemporary Mathematics 427, 41-48 (2007). MSC: 46J10 46J25 46J30 × Cite Format Result Cite Review PDF
Ha, Dzung Minh Functional analysis. Vol. 1: A gentle introduction. (English) Zbl 1106.46001 Ithaca, NY: Matrix Editions (ISBN 0-9715766-1-0/hbk). xvi, 640 p. (2006). Reviewer: Eve Oja (Tartu) MSC: 46-01 47-01 40-01 45-01 × Cite Format Result Cite Review PDF
Mostovoy, Jacob Spaces of rational maps and the Stone-Weierstrass theorem. (English) Zbl 1086.58005 Topology 45, No. 2, 281-293 (2006). MSC: 58D15 55P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martín, María J.; Vukotic, Dragan Isometries of the Dirichlet space among the composition operators. (English) Zbl 1082.47021 Proc. Am. Math. Soc. 134, No. 6, 1701-1705 (2006). MSC: 47B33 46E15 × Cite Format Result Cite Review PDF Full Text: DOI
Kashimoto, Márcia; Nashed, Zuhair A Choquet-Deny-Type theorem and applications to approximation in weighted spaces. (English) Zbl 1121.41036 Mediterr. J. Math. 2, No. 4, 407-416 (2005). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 41A65 46A55 × Cite Format Result Cite Review PDF Full Text: DOI
Jurzak, J.-P. Dominated convergence and Stone–Weierstrass theorem. (English) Zbl 1111.46017 J. Appl. Anal. 11, No. 2, 207-223 (2005). Reviewer: Zoran Kadelburg (Belgrade) MSC: 46E25 46A04 46A17 × Cite Format Result Cite Review PDF Full Text: DOI
Altomare, Francesco; Cappelletti Montano, Mirella Regular vector lattices of continuous functions and Korovkin-type theorems. I. (English) Zbl 1092.46018 Stud. Math. 171, No. 3, 239-260 (2005). Reviewer: James V. Whittaker (Vancouver) MSC: 46E05 46E10 46A40 54C35 × Cite Format Result Cite Review PDF Full Text: DOI
Pinkus, Allan Density in approximation theory. (English) Zbl 1067.41003 Surv. Approx. Theory 1, 1-45 (2005). Reviewer: Manfred Tasche (Rostock) MSC: 41A10 41-03 41A15 41A45 41A63 × Cite Format Result Cite Review PDF Full Text: arXiv EuDML EMIS
Horany, Taher Ghasemi Approximation in complex and real Lipschitz algebras. (English) Zbl 1156.46036 Chademan, Arsalan (ed.), Proceedings of the monthly colloquium of the Iranian Mathematical Society. Vol. 2. Tehran: Iranian Mathematical Society (ISBN 964-95268-3-8/pbk). 59-104 (2004). Reviewer: Victor Milman (Minsk) MSC: 46J10 46J15 41A10 41A20 46J20 × Cite Format Result Cite Review PDF
Mirzoyev, Vidadi S. On closure of sum of two algebras of real continuous functions. (English) Zbl 1085.46034 Trans. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 24, No. 7, Math. Mech., 147-154 (2004). Reviewer: Vladimir Kadets (Murcia) MSC: 46J10 46E15 × Cite Format Result Cite Review PDF
Bilalov, Bilal T. On a Stone-Weierstrass theorem. (English) Zbl 1082.46038 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 21, 51-54 (2004). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 46J10 × Cite Format Result Cite Review PDF
Gerhardt, Claus Analysis. I. Transl. from the 2002 German edition. (English) Zbl 1104.26001 International Series in Analysis. Somerville: International Press (ISBN 1-57146-153-1/hbk). viii, 280 p. (2003). Reviewer: Ryszard Pawlak (Łódź) MSC: 26-01 00-01 × Cite Format Result Cite Review PDF
Kunen, Kenneth The complex Stone–Weierstrass property. (English) Zbl 1063.46036 Fundam. Math. 182, No. 2, 151-167 (2004). Reviewer: Hermann Render (Logrono) MSC: 46J10 54C35 46E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fremlin, D. H. Measure theory. Vol. 2. Broad foundations. Corrected second printing of the 2001 original. (English) Zbl 1165.28001 Colchester: Torres Fremlin (ISBN 0-9538129-2-8/pbk). 563 p., 12 p. (errata). (2003). Reviewer: Ryszard Pawlak (Łódź) MSC: 28-01 26-01 46-01 × Cite Format Result Cite Review PDF
Briem, Eggert A Stone-Weierstrass theorem for function spaces that do not contain the constant functions. (English) Zbl 1070.46016 Grząślewicz, R. (ed.) et al., Function spaces. Proceedings of the 6th conference, Wrocław, Poland, September 3–8, 2001. River Edge, NJ: World Scientific (ISBN 981-238-267-4/hbk). 80-89 (2003). Reviewer: Sundaresan Kondagunta (Cleveland/Ohio) MSC: 46E15 54C05 54C35 54F65 × Cite Format Result Cite Review PDF
Robert, Alain M. Nonstandard analysis. Transl. from the 1985 French original by the author. Revised reprint of the 1988 translation. (English) Zbl 1084.26020 Mineola, NY: Dover Publications (ISBN 0-486-43279-3/pbk). xx, 156 p. (2003). MSC: 26E35 03H05 26-01 03-01 46S20 × Cite Format Result Cite Review PDF
Karavaeva, T.; Pasynkov, B. On the Stone-Weierstrass theorem. (English) Zbl 1029.54032 Quest. Answers Gen. Topology 21, No. 2, 177-180 (2003). MSC: 54D35 54C35 × Cite Format Result Cite Review PDF
Fedorova, V. P. The Stone–Weierstrass theorem and spaces of measures. (English. Russian original) Zbl 1027.54023 Math. Notes 72, No. 3, 417-427 (2002); translation from Mat. Zametki 72, No. 3, 455-467 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 54C35 × Cite Format Result Cite Review PDF Full Text: DOI
Hofmann, Dirk On a generalization of the Stone–Weierstrass theorem. (English) Zbl 1014.18001 Appl. Categ. Struct. 10, No. 6, 569-592 (2002). Reviewer: Horst Herrlich (Bremen) MSC: 18A40 18A05 18A30 18A23 × Cite Format Result Cite Review PDF Full Text: DOI Link
Joo, Moon G.; Lee, Jin S. Universal approximation by hierarchical fuzzy system with constraints on the fuzzy rule. (English) Zbl 1017.93055 Fuzzy Sets Syst. 130, No. 2, 175-188 (2002). Reviewer: George S.Stavrakakis (Chania) MSC: 93C42 93A13 93B11 × Cite Format Result Cite Review PDF Full Text: DOI
Sheppard, B. A Stone-Weierstrass theorem for \(\text{JB}^ *\)-triples. (English) Zbl 1036.46057 J. Lond. Math. Soc., II. Ser. 65, No. 2, 381-396 (2002). Reviewer: C. M. Edwards (Oxford) MSC: 46L70 17C65 × Cite Format Result Cite Review PDF Full Text: DOI
Nikolski, N. K. Operators, functions, and systems: an easy reading. Volume 2: Model operators and systems. Transl. from the French by Andreas Hartmann. (English) Zbl 1007.47002 Mathematical Surveys and Monographs. 93. Providence, RI: American Mathematical Society (AMS). xiv, 439 p. (2002). MSC: 47-02 30-02 93-02 47A40 47A57 47A45 47B35 43A15 43A25 30D55 93B05 93C05 × Cite Format Result Cite Review PDF
Coudène, Y. A measurable version of the Stone-Weierstrass theorem. (Une version mesurable du théorème de Stone-Weierstrass.) (French) Zbl 1026.46021 Gaz. Math., Soc. Math. Fr. 91, 10-17 (2002). Reviewer: J.V.Whittaker (Vancouver) MSC: 46E30 46H10 × Cite Format Result Cite Review PDF
Nikolski, N. K. Operators, functions, and systems: an easy reading. Volume I: Hardy, Hankel, and Toeplitz. Transl. from the French by Andreas Hartmann. (English) Zbl 1007.47001 Mathematical Surveys and Monographs. 92. Providence, RI: American Mathematical Society (AMS). xiv, 461 p. (2002). Reviewer: Wiesław Tadeusz Zelazko (Warszawa) MSC: 47-02 30-02 93-02 47A40 47A57 47A45 47B35 43A15 30D55 93B05 94C05 43A25 × Cite Format Result Cite Review PDF
Mujica, Jorge Dense subalgebras of differentiable functions. (Spanish) Zbl 1102.46033 Cubo Mat. Educ. 3, No. 1, 121-128 (2001). Reviewer: Miguel Martín (Granada) MSC: 46J15 46E15 × Cite Format Result Cite Review PDF
Sheppard, B. A Stone-Weierstrass theorem for postliminal JB-algebras. (English) Zbl 1041.46033 Q. J. Math. 52, No. 4, 507-518 (2001). Reviewer: Juan Martínez Moreno (Granada) MSC: 46H70 17C65 46L70 × Cite Format Result Cite Review PDF Full Text: DOI
Alimohammadi, Davood; Ebadian, Ali Hedberg’s theorm in real Lipschitz algebras. (English) Zbl 1013.46042 Indian J. Pure Appl. Math. 32, No. 10, 1479-1493 (2001). MSC: 46J10 × Cite Format Result Cite Review PDF
Morrison, Terry J. Functional analysis. An introduction to Banach space theory. (English) Zbl 1005.46004 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs, and Tracts. Chichester: Wiley. xiv, 359 p. (2001). Reviewer: Alfonso Montes-Rodriguez (Sevilla) MSC: 46Bxx 46-01 47-01 47B07 47B15 47L20 × Cite Format Result Cite Review PDF
Boel, Søren; Carlsen, Toke Meier; Hansen, Niels Richard A useful strengthening of the Stone-Weierstrass theorem. (English) Zbl 0995.46020 Am. Math. Mon. 108, No. 7, 642-643 (2001). Reviewer: Thanh Van Nguyen (Toulouse) MSC: 46E10 × Cite Format Result Cite Review PDF Full Text: DOI
Banaschewski, B. \(f\)-rings and the Stone-Weierstrass theorem. (English) Zbl 0989.06012 Order 18, No. 2, 105-117 (2001). MSC: 06F25 54C30 03F65 06D22 × Cite Format Result Cite Review PDF Full Text: DOI
Cahen, Paul-Jean; Chabert, Jean-Luc What’s new about integer-valued polynomials on a subset? (English) Zbl 0984.13012 Chapman, Scott T. (ed.) et al., Non-Noetherian commutative ring theory. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 520, 75-96 (2000). Reviewer: Mihai Cipu (Bucureşti) MSC: 13F20 13F30 13B25 41A10 54C25 × Cite Format Result Cite Review PDF
Khan, Liaqat Ali A note on the Stone-Weierstrass theorem. (English) Zbl 0963.46033 Int. J. Math. Game Theory Algebra 10, No. 4, 325-326 (2000). Reviewer: Ryszard Szwarc (Wrocław) MSC: 46J10 46J20 41A30 × Cite Format Result Cite Review PDF
Glycopantis, Dionysius; Muir, Allan Continuity of the payoff functions. (English) Zbl 0957.91008 Econ. Theory 16, No. 1, 239-244 (2000). MSC: 91A10 × Cite Format Result Cite Review PDF Full Text: DOI
Gorban’, A. N. Generalized Stone approximation theorem for arbitrary algebras of functions. (English. Russian original) Zbl 0963.46032 Dokl. Math. 59, No. 2, 276-278 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 365, No. 5, 586-588 (1999). Reviewer: Ryszard Szwarc (Wrocław) MSC: 46J10 41A65 × Cite Format Result Cite Review PDF
Sandberg, Irwin W. Separation conditions and approximation of continuous-time approximately finite memory systems. (English) Zbl 0967.93047 IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 46, No. 7, 820-826 (1999). Reviewer: Neculai Curteanu (Iaşi) MSC: 93C10 41A30 × Cite Format Result Cite Review PDF Full Text: DOI
Hofmann, Dirk Natural dualities and the generalized Stone-Weierstrass theorem. (Natürliche Dualitäten und das verallgemeinerte Stone-Weierstrass-Theorem.) (German) Zbl 0944.18001 Berlin: Logos Verlag. Bremen: Univ. Bremen, Fachbereich Mathematik und Informatik, vi, 92 S. (1999). Reviewer: H.-E.Porst (Bremen) MSC: 18A40 08C15 × Cite Format Result Cite Review PDF
Schaefer, Helmut H.; Wolff, M. P. Topological vector spaces. 2nd ed. (English) Zbl 0983.46002 Graduate Texts in Mathematics. 3. New York, NY: Springer. vi, 346 p. (1999). Reviewer: Heinz Junek (Potsdam) MSC: 46A03 46-02 46A04 46A11 46A25 46L05 46A40 46A20 46A30 46A32 46B42 46A55 47B60 46F05 × Cite Format Result Cite Review PDF
Bollobás, Béla Linear analysis. An introductory course. 2nd ed. (English) Zbl 0923.46002 Cambridge Mathematical Textbooks. Cambridge: Cambridge University Press. xi, 240 p. (1999). Reviewer: J.Appell (Würzburg) MSC: 46-01 47-01 46B07 46B20 46A22 46B10 46L05 47H10 47H09 × Cite Format Result Cite Review PDF
Aliprantis, Charalambos D.; Burkinshaw, Owen Problems in real analysis. A workbook with solutions. 2nd ed. (English) Zbl 1006.28002 San Diego, CA: Academic Press. vii, 403 p. (1999). MSC: 28-01 00A07 28A12 28A15 28A20 28A25 46B42 46E10 46E30 × Cite Format Result Cite Review PDF
Gorban, A. N. Approximation of continuous functions of several variables by an arbitrary nonlinear continuous function of one variable, linear functions, and their superpositions. (English) Zbl 0940.41017 Appl. Math. Lett. 11, No. 3, 45-49 (1998). Reviewer: H.-J.Glaeske (Jena) MSC: 41A63 26B40 41A30 × Cite Format Result Cite Review PDF Full Text: DOI
Aliprantis, Charalambos D.; Burkinshaw, Owen Principles of real analysis. 3rd ed. (English) Zbl 1006.28001 San Diego, CA: Academic Press. xii, 415 p. (1998). MSC: 28-01 28A15 28A12 28A20 28A25 46B42 46E10 46E30 × Cite Format Result Cite Review PDF
Sakai, Shôichirô \(C^*\)-algebras and \(W^*\)-algebras. Reprint of the 1971 edition. (English) Zbl 1024.46001 Classics in Mathematics. Berlin: Springer. xii, 256 p. (1998). MSC: 46-01 46L05 46L10 46L35 46L40 × Cite Format Result Cite Review PDF
Sandberg, Irwin W. Separation conditions and criteria for uniform approximation of input-output maps. (English) Zbl 0962.93043 Int. J. Circuit Theory Appl. 26, No. 3, 243-252 (1998). Reviewer: A.V.Balakrishnan (Los Angeles) MSC: 93C10 41A30 92B20 × Cite Format Result Cite Review PDF Full Text: DOI