A non-locally convex topological algebra with all commutative subalgebras locally convex

• Autorzy: W. Żelazko
• Języki publikacji: EN

Abstrakty

EN

We construct a complete multiplicatively pseudoconvex algebra with the property announced in the title. This solves Problem 25 of [6].

Kategorie tematyczne

• 46H10: Ideals and subalgebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1996
• Tom: 120
• Numer: 1
• Strony: 89-94

Daty

wydano

1996

otrzymano

1996-04-12

poprawiono

1996-04-17

Twórcy

autor

W. Żelazko

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 137, 00-950 Warszawa, Poland

Bibliografia

• [1] A. Kokk and W. Żelazko, On vector spaces and algebras with maximal locally pseudoconvex topologies, Studia Math. 112 (1995), 195-201.
• [2] A. Mallios, Topological Algebras. Selected Topics, North-Holland, Amsterdam, 1986.
• [3] S. Rolewicz, Metric Linear Spaces, PWN, Warszawa, 1972.
• [4] L. Waelbroeck, Topological Vector Spaces and Algebras, Lecture Notes in Math. 230, Springer, 1971.
• [5] W. Żelazko, Selected Topics in Topological Algebras, Aarhus Univ. Lecture Notes 31, 1971.
• [6] W. Żelazko, On certain open problems in topological algebras, Rend. Sem. Mat. Fis. Milano 59 (1989), 1992, 49-58.
• [7] W. Żelazko, A non-Banach m-convex algebra all of whose closed commutative subalgebras are Banach algebras, Studia Math. 119 (1996), 195-198.