Lahbib Oubbi

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Questions related from Lahbib Oubbi

Can one characterize all two-sided idéals of a product of (Banach) algebras?

If A_i is a (Banach) algebra for every i in some set I, can one give the form of the ideals of the product algebra π_i A_i ?

11 October 2023 428 0 View

Is there an example of a locally convex space with a countable base of bounded sets and non barreled strong dual ?

Recall that a locally convex space $E$ is said to be barreled if every closed absolutely convex and absorbing set (i.e. every barrel) is a 0-neighborhood. A countable base of bounded sets in $E$...

28 November 2019 1,283 8 View

If $X$ is a locally compact space, is any bounded subset $B$ of $C_c(X)$ dominated by a continuous function on $X$ ?

Assume that $X$ is a locally compact Hausdorff space, that $C_c(X)$ is the space of all continuous (real- or) complex-valued functions on $X$, endowed with the compact open topology, and that $B$...

14 January 2019 7,914 11 View

Extreme points of the unit ball of a function space.

If $X$ is a Hausdorff completely regular space and $E$ a Banach space, what are the extreme points of the unit ball of the Banach space $C_b(X, E)$ of all bounded continuous functions from $X$...

01 January 1970 2,349 1 View