Stone–Weierstrass theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Stone–Weierstrass theorem" in English language version.

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academia.edu

Quintana, Yamilet; Perez D. (2008). "A survey on the Weierstrass approximation theorem". Divulgaciones Matematicas. 16 (1): 232. OCLC 810468303. Retrieved July 3, 2021. Weierstrass' perception on analytic functions was of functions that could berepresented by power series (arXiv 0611038v2).

ams.org

mathscinet.ams.org

Stone, M. H. (1948), "The Generalized Weierstrass Approximation Theorem", Mathematics Magazine, 21 (4): 167–184, doi:10.2307/3029750, JSTOR 3029750, MR 0027121; 21 (5), 237–254.

archive.org

Willard, Stephen (1970). General Topology. Addison-Wesley. p. 293. ISBN 0-486-43479-6.

arxiv.org

Quintana, Yamilet (2010). "On Hilbert extensions of Weierstrass' theorem with weights". Journal of Function Spaces. 8 (2). Scientific Horizon: 202. arXiv:math/0611034. doi:10.1155/2010/645369. ISSN 0972-6802. OCLC 7180746563. (arXiv 0611034v3). Citing: D. S. Lubinsky, Weierstrass' Theorem in the twentieth century: a selection, in Quaestiones Mathematicae18 (1995), 91–130.

doi.org

Stone, M. H. (1937), "Applications of the Theory of Boolean Rings to General Topology", Transactions of the American Mathematical Society, 41 (3): 375–481, doi:10.2307/1989788, JSTOR 1989788
Stone, M. H. (1948), "The Generalized Weierstrass Approximation Theorem", Mathematics Magazine, 21 (4): 167–184, doi:10.2307/3029750, JSTOR 3029750, MR 0027121; 21 (5), 237–254.
de la Cerda, Sofia (2023-08-09). "Polynomial Approximations to Continuous Functions". The American Mathematical Monthly. 130 (7): 655. doi:10.1080/00029890.2023.2206324. ISSN 0002-9890.
Glimm, James (1960). "A Stone–Weierstrass Theorem for C*-algebras". Annals of Mathematics. Second Series. 72 (2): 216–244 [Theorem 1]. doi:10.2307/1970133. JSTOR 1970133.
Bishop, Errett (1961), "A generalization of the Stone–Weierstrass theorem", Pacific Journal of Mathematics, 11 (3): 777–783, doi:10.2140/pjm.1961.11.777
Quintana, Yamilet (2010). "On Hilbert extensions of Weierstrass' theorem with weights". Journal of Function Spaces. 8 (2). Scientific Horizon: 202. arXiv:math/0611034. doi:10.1155/2010/645369. ISSN 0972-6802. OCLC 7180746563. (arXiv 0611034v3). Citing: D. S. Lubinsky, Weierstrass' Theorem in the twentieth century: a selection, in Quaestiones Mathematicae18 (1995), 91–130.

google.it

Ciesielski, Zbigniew; Pełczyński, Aleksander; Skrzypczak, Leszek (2004). Orlicz centenary volume : proceedings of the conferences "The Wladyslaw Orlicz Centenary Conference" and Function Spaces VII : Poznan, 20-25 July 2003. Vol. I, Plenary lectures. Banach Center publications. Vol. 64. Institute of Mathematics. Polish Academy of Sciences. p. 175. OCLC 912348549.

jstor.org

Stone, M. H. (1937), "Applications of the Theory of Boolean Rings to General Topology", Transactions of the American Mathematical Society, 41 (3): 375–481, doi:10.2307/1989788, JSTOR 1989788
Stone, M. H. (1948), "The Generalized Weierstrass Approximation Theorem", Mathematics Magazine, 21 (4): 167–184, doi:10.2307/3029750, JSTOR 3029750, MR 0027121; 21 (5), 237–254.
Glimm, James (1960). "A Stone–Weierstrass Theorem for C*-algebras". Annals of Mathematics. Second Series. 72 (2): 216–244 [Theorem 1]. doi:10.2307/1970133. JSTOR 1970133.

projecteuclid.org

Bishop, Errett (1961), "A generalization of the Stone–Weierstrass theorem", Pacific Journal of Mathematics, 11 (3): 777–783, doi:10.2140/pjm.1961.11.777

psu.edu

citeseerx.ist.psu.edu

Pinkus, Allan (2004). "Density methods and results in approximation theory". Orlicz Centenary Volume. Banach Center publications. 64. Institute of Mathematics, Polish Academy of Sciences: 3. CiteSeerX 10.1.1.62.520. ISSN 0137-6934. OCLC 200133324. Archived from the original on July 3, 2021.

tandfonline.com

de la Cerda, Sofia (2023-08-09). "Polynomial Approximations to Continuous Functions". The American Mathematical Monthly. 130 (7): 655. doi:10.1080/00029890.2023.2206324. ISSN 0002-9890.

technion.ac.il

math.technion.ac.il

Pinkus, Allan. "Weierstrass and Approximation Theory" (PDF). Journal of Approximation Theory. 107 (1): 8. ISSN 0021-9045. OCLC 4638498762. Archived (PDF) from the original on October 19, 2013. Retrieved July 3, 2021.

web.archive.org

Pinkus, Allan. "Weierstrass and Approximation Theory" (PDF). Journal of Approximation Theory. 107 (1): 8. ISSN 0021-9045. OCLC 4638498762. Archived (PDF) from the original on October 19, 2013. Retrieved July 3, 2021.
Pinkus, Allan (2004). "Density methods and results in approximation theory". Orlicz Centenary Volume. Banach Center publications. 64. Institute of Mathematics, Polish Academy of Sciences: 3. CiteSeerX 10.1.1.62.520. ISSN 0137-6934. OCLC 200133324. Archived from the original on July 3, 2021.

worldcat.org

search.worldcat.org

de la Cerda, Sofia (2023-08-09). "Polynomial Approximations to Continuous Functions". The American Mathematical Monthly. 130 (7): 655. doi:10.1080/00029890.2023.2206324. ISSN 0002-9890.
Pinkus, Allan. "Weierstrass and Approximation Theory" (PDF). Journal of Approximation Theory. 107 (1): 8. ISSN 0021-9045. OCLC 4638498762. Archived (PDF) from the original on October 19, 2013. Retrieved July 3, 2021.
Pinkus, Allan (2004). "Density methods and results in approximation theory". Orlicz Centenary Volume. Banach Center publications. 64. Institute of Mathematics, Polish Academy of Sciences: 3. CiteSeerX 10.1.1.62.520. ISSN 0137-6934. OCLC 200133324. Archived from the original on July 3, 2021.
Ciesielski, Zbigniew; Pełczyński, Aleksander; Skrzypczak, Leszek (2004). Orlicz centenary volume : proceedings of the conferences "The Wladyslaw Orlicz Centenary Conference" and Function Spaces VII : Poznan, 20-25 July 2003. Vol. I, Plenary lectures. Banach Center publications. Vol. 64. Institute of Mathematics. Polish Academy of Sciences. p. 175. OCLC 912348549.
Quintana, Yamilet; Perez D. (2008). "A survey on the Weierstrass approximation theorem". Divulgaciones Matematicas. 16 (1): 232. OCLC 810468303. Retrieved July 3, 2021. Weierstrass' perception on analytic functions was of functions that could berepresented by power series (arXiv 0611038v2).
Quintana, Yamilet (2010). "On Hilbert extensions of Weierstrass' theorem with weights". Journal of Function Spaces. 8 (2). Scientific Horizon: 202. arXiv:math/0611034. doi:10.1155/2010/645369. ISSN 0972-6802. OCLC 7180746563. (arXiv 0611034v3). Citing: D. S. Lubinsky, Weierstrass' Theorem in the twentieth century: a selection, in Quaestiones Mathematicae18 (1995), 91–130.