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    • CommentRowNumber1.
    • CommentAuthorzskoda
    • CommentTimeJun 4th 2011

    New entries operator topology (for now redirecting also strong operator topology etc.) and unitary representation. Changes at projection measure (the sigma algebra does not need to be the sigma algebra of Borel subsets on a topological space!) and spectral measure. At some point one should add some crosslinks from/to other entries in functional analysis but I am on slow/expensive connection now, hence will restrain to more substantial (in content sense) edits.

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeJun 4th 2011
    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJun 4th 2011
    • (edited Jun 4th 2011)

    Thanks for all this. I have added a few links here and there. For instance started a list of Example-links at measure.

    At some point we should start a subject cluster / floating toc on “measure theory” or the like.

    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeJun 4th 2011

    My intention was not toward measure theory. I primarily want to create some entries which will help write something about the Tannaka duality theorems for groups in full power, for what one needs much harmonic analysis. Matija will be giving a seminar in few days in Zagreb on this topic.

    • CommentRowNumber5.
    • CommentAuthorzskoda
    • CommentTimeJun 4th 2011

    By the way, under Tannaka duality, it is currently

    for A some algebraic structure, represented on objects in a category D, one may reconstruct A from knowledge of the endomorphisms of the forgetful functor – the fiber functor

    I will change that: A should be a symmetry object. Typical important examples are far from algebraic in the sense of category theory, better they are locally compact group(oid)s, gerbes and so on. “Algebraic” is I think misleading here (of course, symmetries act so there is something algebraic about it, but any place category theory comes in is algebraic to a similar extent).

    • CommentRowNumber6.
    • CommentAuthorDavid_Corfield
    • CommentTimeFeb 8th 2012

    Zoran #1

    the sigma algebra does not need to be the sigma algebra of Borel subsets on a topological space!

    Does this mean you can answer this MO question?

    • CommentRowNumber7.
    • CommentAuthorzskoda
    • CommentTimeFeb 8th 2012

    Let me come back to that in a couple of days, I do a lecture today and another deadline tomorrow.

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