Null projections and noncommutative function theory in operator algebras
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We study projections in the bidual of a C∗$\mathrm{C}^*$‐algebra B$B$ that are null with respect to a subalgebra A$A$, that is, projections p∈B∗∗$p\in B^{**}$ satisfying |φ|(p)=0$|\varphi |(p)=0$ for every φ∈B∗$\varphi \in B^*$ annihilating A$A$. In the separable case, A$A$‐null projections are precisely the peak projections in the bidual of A$
David P. Blecher, Raphaël Clouâtre
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A novel sub-differentiable hausdorff loss combined with BCE for MRI brain tumor segmentation using UNet variants. [PDF]
Sci RepVisalakshi G, Mohan L.
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Isotopies of complete minimal surfaces of finite total curvature
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Let M$M$ be a Riemann surface biholomorphic to an affine algebraic curve. We show that the inclusion of the space ℜNC∗(M,Cn)$\Re \mathrm{NC}_*(M,\mathbb {C}^n)$ of real parts of nonflat proper algebraic null immersions M→Cn$M\rightarrow \mathbb {C}^n$, n⩾3$n\geqslant 3$, into the space CMI∗(M,Rn)$\mathrm{CMI}_*(M,\mathbb {R}^n)$ of complete ...
Antonio Alarcón +2 more
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GDT-SwinKid: A hybrid model for precise renal lesion analysis. [PDF]
PLoS OneRao N T +4 more
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Sections and projections of the outer and inner regularizations of a convex body
Mathematika, Volume 72, Issue 3, July 2026.Abstract We establish new geometric inequalities comparing the volumes of sections and projections of a convex body, whose barycenter or Santaló point is at the origin, with those of its inner and outer regularizations. We also provide functional extensions of these inequalities to the setting of log‐concave functions. Our approach relies on the recent
Natalia Tziotziou
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Association of Wearable Sensor-Derived Gait Measures With Cartilage Damage Over Two Years Among Adults With or at Risk of Knee Osteoarthritis. [PDF]
Arthritis Care Res (Hoboken)Bacon KL +11 more
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New results on embeddings of self‐similar sets via renormalization
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract For self‐similar sets X,Y⊆R$X,Y\subseteq \mathbb {R}$, we obtain new results toward the affine embeddings conjecture of Feng–Huang–Rao (2014), and the equivalent weak intersections conjecture. We show that the conjecture holds when the defining maps of X,Y$X,Y$ have algebraic contraction ratios, and also for arbitrary Y$Y$ when the maps ...
Amir Algom, Michael Hochman, Meng Wu
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Median geometry for spaces with measured walls and for groups. [PDF]
Math AnnChatterji I, Druţu C.
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An elementary approach to Wehrl‐type entropy bounds in quantitative form
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract We consider the problem of the stability (with sharp exponent) of the Lieb–Solovej inequality for symmetric SU(N)$SU(N)$ coherent states, which was obtained only recently by the authors. Here, we propose an elementary proof of this result, based on reformulating the Wehrl‐type entropy as a function defined on the unit sphere in Cd$\mathbb {C ...
Fabio Nicola +2 more
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