Fréchet algebra (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Fréchet algebra" in English language version.

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11ams.org

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1archive.org

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mathscinet.ams.org

Mitiagin, Rolewicz & Żelazko 1962; Żelazko 2001. Mitiagin, B.; Rolewicz, S.; Żelazko, W. (1962). "Entire functions in B₀-algebras". Studia Mathematica. 21 (3): 291–306. doi:10.4064/sm-21-3-291-306. MR 0144222. Żelazko, W. (2001) [1994]. "Fréchet algebra". Encyclopedia of Mathematics. EMS Press.
Waelbroeck 1971, Chapter VII, Proposition 1; Palmer 1994, $\S$ 2.9. Waelbroeck, Lucien (1971). Topological Vector Spaces and Algebras. Lecture Notes in Mathematics. Vol. 230. doi:10.1007/BFb0061234. ISBN 978-354005650-8. MR 0467234. Palmer, T.W. (1994). Banach Algebras and the General Theory of *-algebras, Volume I: Algebras and Banach Algebras. Encyclopedia of Mathematics and its Applications. Vol. 49. New York City: Cambridge University Press. ISBN 978-052136637-3.
Waelbroeck 1971, Chapter VII, Proposition 2. Waelbroeck, Lucien (1971). Topological Vector Spaces and Algebras. Lecture Notes in Mathematics. Vol. 230. doi:10.1007/BFb0061234. ISBN 978-354005650-8. MR 0467234.
Mitiagin, Rolewicz & Żelazko 1962, Lemma 1.2. Mitiagin, B.; Rolewicz, S.; Żelazko, W. (1962). "Entire functions in B₀-algebras". Studia Mathematica. 21 (3): 291–306. doi:10.4064/sm-21-3-291-306. MR 0144222.
Żelazko 1965, Theorem 13.17. Żelazko, W. (1965). "Metric generalizations of Banach algebras". Rozprawy Mat. (Dissertationes Math.). 47. Theorem 13.17. MR 0193532.
Żelazko 1994, pp. 283–290. Żelazko, W. (1994). "Concerning entire functions in B₀-algebras". Studia Mathematica. 110 (3): 283–290. doi:10.4064/sm-110-3-283-290. MR 1292849.
Michael 1952, Theorem 5.1. Michael, Ernest A. (1952). Locally Multiplicatively-Convex Topological Algebras. Memoirs of the American Mathematical Society. Vol. 11. MR 0051444.
Michael 1952, Theorem 5.2. Michael, Ernest A. (1952). Locally Multiplicatively-Convex Topological Algebras. Memoirs of the American Mathematical Society. Vol. 11. MR 0051444.
Waelbroeck 1971. Waelbroeck, Lucien (1971). Topological Vector Spaces and Algebras. Lecture Notes in Mathematics. Vol. 230. doi:10.1007/BFb0061234. ISBN 978-354005650-8. MR 0467234.
Michael 1952; Husain 1991. Michael, Ernest A. (1952). Locally Multiplicatively-Convex Topological Algebras. Memoirs of the American Mathematical Society. Vol. 11. MR 0051444. Husain, Taqdir (1991). Orthogonal Schauder Bases. Pure and Applied Mathematics. Vol. 143. New York City: Marcel Dekker. ISBN 0-8247-8508-8.
Michael 1952, $\S$ 12, Question 1; Palmer 1994, $\S$ 3.1. Michael, Ernest A. (1952). Locally Multiplicatively-Convex Topological Algebras. Memoirs of the American Mathematical Society. Vol. 11. MR 0051444. Palmer, T.W. (1994). Banach Algebras and the General Theory of *-algebras, Volume I: Algebras and Banach Algebras. Encyclopedia of Mathematics and its Applications. Vol. 49. New York City: Cambridge University Press. ISBN 978-052136637-3.

archive.org

Rudin 1973, 1.8(e). Rudin, Walter (1973). Functional Analysis. Series in Higher Mathematics. New York City: McGraw-Hill Book. 1.8(e). ISBN 978-007054236-5 – via Internet Archive.

arxiv.org

Patel, S. R. (2022-06-28). "On affirmative solution to Michael's acclaimed problem in the theory of Fréchet algebras, with applications to automatic continuity theory". arXiv:2006.11134 [math.FA].

doi.org

Mitiagin, Rolewicz & Żelazko 1962; Żelazko 2001. Mitiagin, B.; Rolewicz, S.; Żelazko, W. (1962). "Entire functions in B₀-algebras". Studia Mathematica. 21 (3): 291–306. doi:10.4064/sm-21-3-291-306. MR 0144222. Żelazko, W. (2001) [1994]. "Fréchet algebra". Encyclopedia of Mathematics. EMS Press.
Waelbroeck 1971, Chapter VII, Proposition 1; Palmer 1994, $\S$ 2.9. Waelbroeck, Lucien (1971). Topological Vector Spaces and Algebras. Lecture Notes in Mathematics. Vol. 230. doi:10.1007/BFb0061234. ISBN 978-354005650-8. MR 0467234. Palmer, T.W. (1994). Banach Algebras and the General Theory of *-algebras, Volume I: Algebras and Banach Algebras. Encyclopedia of Mathematics and its Applications. Vol. 49. New York City: Cambridge University Press. ISBN 978-052136637-3.
Waelbroeck 1971, Chapter VII, Proposition 2. Waelbroeck, Lucien (1971). Topological Vector Spaces and Algebras. Lecture Notes in Mathematics. Vol. 230. doi:10.1007/BFb0061234. ISBN 978-354005650-8. MR 0467234.
Mitiagin, Rolewicz & Żelazko 1962, Lemma 1.2. Mitiagin, B.; Rolewicz, S.; Żelazko, W. (1962). "Entire functions in B₀-algebras". Studia Mathematica. 21 (3): 291–306. doi:10.4064/sm-21-3-291-306. MR 0144222.
Żelazko 1994, pp. 283–290. Żelazko, W. (1994). "Concerning entire functions in B₀-algebras". Studia Mathematica. 110 (3): 283–290. doi:10.4064/sm-110-3-283-290. MR 1292849.
Fragoulopoulou 2005, Example 6.13 (2). Fragoulopoulou, Maria (2005). "Bibliography". Topological Algebras with Involution. North-Holland Mathematics Studies. Vol. 200. Amsterdam: Elsevier B.V. pp. 451–485. doi:10.1016/S0304-0208(05)80031-3. ISBN 978-044452025-8.
Waelbroeck 1971. Waelbroeck, Lucien (1971). Topological Vector Spaces and Algebras. Lecture Notes in Mathematics. Vol. 230. doi:10.1007/BFb0061234. ISBN 978-354005650-8. MR 0467234.
Fragoulopoulou 2005, Chapter 1. Fragoulopoulou, Maria (2005). "Bibliography". Topological Algebras with Involution. North-Holland Mathematics Studies. Vol. 200. Amsterdam: Elsevier B.V. pp. 451–485. doi:10.1016/S0304-0208(05)80031-3. ISBN 978-044452025-8.