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

11 October 2023 0 428 Report

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 ?

Badges
Science topic

Similar topics
Mathematics

What is the ten-dimensional space?

How to properly characterize a ten-dimensional space. How does it fit with the modern understanding of the environment.

02 October 2020 2,572 29 View

If X is finite dimensional linear space every two norms on X are equivalent. Does the converse hold?

Given a Banach space X and the fact that all norms are equivalent, does it follow that dimension of X is finite? The converse statement is proved in many books however I didn't find this statement...

01 February 2020 5,491 3 View

Is it necessary for engineers to know the definitions of mathematical spaces?

We know that mathematicians study different mathematical spaces such as Hilbert space, Banach space, Sobolev space, etc... but as engineers, is it necessary for us to understand the definition of...

13 October 2019 9,847 9 View

Is it necessary for engineers to know the definitions of mathematical spaces?

We know that mathematicians study different mathematical spaces such as Hilbert space, Banach space, Sobolev space, etc... but as engineers, is it necessary for us to understand the definition of...

09 October 2019 4,950 4 View

I'm currently working on a project that has a lot to do with uniformly convex spaces. Apart from Hilbert, Lp, lp, and CAT(0), is there any other?

I'm currently working on fixed point theorems on uniformly convex spaces and I will love if anyone can point my attention to spaces that are uniformly convex apart from the ones I have listed above.

22 September 2019 1,351 8 View

Contractible Banach algebras?

Let A Banach algebra, A is contractible if H1(A,X)=0 for all Banach A-bimodules X . Now to my question Let A be Banach algebra and I be closed ideal of A. If I and A/I are both contractible,...

19 May 2019 1,408 3 View

Pseudo Banach spaces?

What about the norm condition on Banach spaces if we think it just a metric and not a norm? Do someone know any work in that way?

04 May 2019 8,598 3 View

Contractible Banach algebras?

Let A Banach algebra, A is contractible if H1(A,X)=0 for all Banach A-bimodules X . Now to my question Let A be Banach algebra and I be closed ideal of A. If I and A/I are both contractible,...

04 May 2019 507 4 View

How does OPE work with the same operator twice?

In trying to do the twist expansion of the gluon function, I was using the operator product expansion of where I defined FF=O as my operator. Using this, I then said = C. Is this correct, or...

04 May 2019 3,743 3 View

No title

It is well known that characters on real or complex Banach algebra are automaticaly continuous. In His1959 doctoral dissertation, Ernset Michael conjectured that the same result on automatic...

01 February 2019 6,947 3 View