@heiseonline@social.heise.de2026-02-24 06:57:00
@tomww@mastodon.social2026-03-26 17:58:02
@arXiv_mathOA_bot@mastoxiv.page2026-03-26 07:45:47
Bounded modular functionals and operators on Hilbert C*-modules are regular
Michael Frank, Cristian Ivanescu
https://arxiv.org/abs/2603.24042 https://arxiv.org/pdf/2603.24042 https://arxiv.org/html/2603.24042
arXiv:2603.24042v1 Announce Type: new
Abstract: We prove that for any C*-algebra $A$ and Hilbert $A$-modules $M\subseteq N$ with $M^\perp=\{0\}$, every bounded $A$-linear map $N\to A$ (or $N\to N)$ vanishing on $M$ is the zero map. This verifies the conjectures of the first author and settles the regularity problem for bounded modular functionals and operators on Hilbert C*-modules. As a consequence, kernels of bounded C*-linear operators on Hilbert C*-modules are shown to be biorthogonally complemented, which gives a correct proof of Lemma 2.4 in ``On Hahn-Banach type theorems for Hilbert C*-modules'', Internat. J. Math. 13(2002), 1--19, in full generality.
toXiv_bot_toot
@Simone21@mastodon.social2026-02-25 15:36:27
🇨🇭 🇨🇭 🇨🇭 🇨🇭 🇨🇭
Die Meinungen zur Halbierungsinitiative sind gemacht.
Es wird knapp.
Jetzt entscheidet die Seite, von der mehr Menschen an die Urnen gehen.
Bittebittebitte, Schweizer Fediversianer, geht an die Urne!
Bitte helft mit, dass die Demokratie nicht eingeschränkt werden kann durch rechte Fehlinformation.
🇨🇭 🇨🇭 🇨🇭 🇨🇭 🇨🇭
Bitte boosten für Reichweite. 🙏
@GenealogieNews@genealogie.social2026-03-25 20:30:45
Ahnenforschung im Trend: Wie das neue Kitzinger Staatsarchiv hierbei helfen kann
#Volkach. Wer waren meine Vorfahren? Und wie verhielten sie sich während der NS-Zeit? Das neue Staatsarchiv in Kitzingen kann Suchende unterstützen. Direktor Alexander Wolz gibt hilfreiche Tipps.
@henrikmillinge@fikaverse.club2026-03-26 11:48:11
Ro på. #DKPol #DKØkonomi
Oliechok giver ingen krise – bemærkelsesværdigt, siger nationalbankdirektør
Hvad sker der? Nationalbanken gør status over dansk økonomi. Nationalbanken tegner et dystert worst case-senarie, der i værste fald kan medføre en halvering af væksten i dansk økonomi og en David fucking Hilbert wrote 'after infinity, counting continues naturally, infinity plus one, infinity plus two, and so on' (I'm quoting from memory, so could be slightly wrong).
@simon_brooke@mastodon.scot
2026-03-25 17:40:37
I consider this anathema. I'm proposing that any computation which adds any number to infinity, or multiplies any number by infinity, should return infinity.
This is, as I understand it, the intuitionist heresy.
Is there anyone prepared to argue I shouldn't do this?
@heiseonline@social.heise.de2026-02-19 17:22:00
@arXiv_mathOA_bot@mastoxiv.page2026-03-25 07:49:26
A tautological continuous field of Roe bimodules
Vladimir Manuilov
https://arxiv.org/abs/2603.23366 https://arxiv.org/pdf/2603.23366 https://arxiv.org/html/2603.23366
arXiv:2603.23366v1 Announce Type: new
Abstract: We generalize the notion of a continuous field of C*-algebras to that of Hilbert C*-bimodules. Given a partially ordered set $P$ and a monotonically non-decreasing family of ternary rings of operators (TROs) assigned to the points of $P$, we equip $P$ with a certain zero-dimensional Hausdorff topology and use a certain compactification $\gamma P$ to get the base space for a continuous field of Hilbert C*-bimodules over $\gamma P$.
As a motivating example, we consider the set $D(X,Y)$ of coarse equivalence classes of metrics on the disjoint union of two metric spaces, $X$ and $Y$. Each such class gives rise to a uniform Roe bimodule, a TRO linking the uniform Roe algebras of $X$ and $Y$. The resulting family of TROs is non-decreasing with respect to the natural partial order on $D(X,Y)$ and thus yields a tautological continuous field of Hilbert C*-bimodules over $\gamma D(X,Y)$.
toXiv_bot_toot
@heiseonline@social.heise.de2026-02-20 06:00:07
Einige der zuletzt hier besonders häufig geteilten #News:
Fehlkonfiguration: Weiter Chaos bei elektronischen Heilberufsausweisen