The strongest Banach–Stone theorem for C0(K,ℓ22)$C_{0}(K, \ell _2^2)$ spaces
Sign Up to like & getrecommendations! Published in 2024 at "Mathematische Nachrichten"
DOI: 10.1002/mana.202300321
Abstract: As usual denote by ℓ22$\ell _2^2$ the real two‐dimensional Hilbert space. We prove that if K$K$ and S$S$ are locally compact Hausdorff spaces and T$T$ is a linear isomorphism from C0(K,ℓ22)$C_{0}(K,\ell _2^2)$ onto C0(S,ℓ22)$C_{0}(S,\ell _2^2)$… read more here.
Keywords: ell; vert vert; stone theorem; vert ... See more keywords
Arithmetic representations of fundamental groups I
Sign Up to like & getrecommendations! Published in 2017 at "Inventiones mathematicae"
DOI: 10.1007/s00222-018-0810-4
Abstract: Let X be a normal algebraic variety over a finitely generated field k of characteristic zero, and let $$\ell $$ℓ be a prime. Say that a continuous $$\ell $$ℓ-adic representation $$\rho $$ρ of $$\pi _1^{\acute{\mathrm{e}}\text… read more here.
Keywords: mathrm text; ell; acute mathrm; rho ... See more keywords
Spiderweb Central Configurations
Sign Up to like & getrecommendations! Published in 2019 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-019-00330-y
Abstract: In this paper we study spiderweb central configurations for the $N$-body problem, i.e configurations given by $N=n \times \ell+1$ masses located at the intersection points of $\ell$ concurrent equidistributed half-lines with $n$ circles and a… read more here.
Keywords: geq; ell; spiderweb central; central configurations ... See more keywords
Radiative rates for E1, E2, M1, and M2 transitions in Ne-like Cu XX, Zn XXI and Ga XXII
Sign Up to like & getrecommendations! Published in 2019 at "Atomic Data and Nuclear Data Tables"
DOI: 10.1016/j.adt.2018.03.001
Abstract: Energy levels, radiative rates and lifetimes are reported for the lowest 139 levels of three Ne-like ions, namely Cu~XX, Zn~XXI and Ga~XXII. These levels mostly belong to the 2s$^2$2p$^6$, 2s$^2$2p$^5$3$\ell$, 2s2p$^6$3$\ell$, 2s$^2$2p$^5$4$\ell$, 2s2p$^6$4$\ell$, and 2s$^2$2p$^5$5$\ell$… read more here.
Keywords: rates transitions; xxi xxii; ell; transitions like ... See more keywords
Integration of Differential Graded Manifolds
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DOI: 10.1093/imrn/rnz004
Abstract: We consider the problem of integration of $L_\infty $-algebroids (differential non-negatively graded manifolds) to $L_\infty $-groupoids. We first construct a “big” Kan simplicial manifold (Fréchet or Banach) whose points are solutions of a (generalized) Maurer–Cartan… read more here.
Keywords: integration; integration differential; infty; ell ... See more keywords
Negative Feedback Loop Mechanism between EAF1/2 and DBC1 in Regulating ELL Stability and Functions
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DOI: 10.1128/mcb.00151-22
Abstract: Although ELL-associated factors 1 and 2 (EAF1/2) have been shown to enhance RNA polymerase II-mediated transcription in vitro, their functional roles in vivo are poorly known. In this report, we show functions of these proteins… read more here.
Keywords: ell stability; ell; regulating ell; dbc1 regulating ... See more keywords