Results 51 to 60 of about 9,771 (187)
Factorizations and minimality of the Calkin Algebra norm for C(K)$C(K)$‐spaces
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract For a scattered, locally compact Hausdorff space K$K$, we prove that the essential norm on the Calkin algebra B(C0(K))/K(C0(K))$\mathcal {B}(C_0(K))/\mathcal {K}(C_0(K))$ is a minimal algebra norm. The proof relies on establishing a quantitative factorization for the identity operator on c0$c_0$ through noncompact operators T:C0(K)→X$T: C_0(K)
Antonio Acuaviva
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On the complemented subspaces of the Schreier spaces
, 1999 It is shown that the Schreier space X admits a set of continuum cardinality whose elements are mutually incomparable complemented subspaces spanned by subsequences of the natural Schauder basis of X.Comment: 26 pages, AMS ...
Gasparis, I., Leung, D. H.
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Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1656-1702, September 2025.Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli +2 more
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Restricting a Schauder Basis to a Set of Positive Measure [PDF]
Transactions of the American Mathematical Society, 1973 Let { f n } \{ {f_n}\} be an orthonormal system of functions on [0, 1] containing a subsystem { f n k
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Angles and Schauder basis in Hilbert spaces
, 2018 Let $\mathcal{H}$ be a complex separable Hilbert space. We prove that if $\{f_{n}\}_{n=1}^{\infty}$ is a Schauder basis of the Hilbert space $\mathcal{H}$, then the angles between any two vectors in this basis must have a positive lower bound. Furthermore, we investigate that $\{z^{ ^{-1}(n)}\}_{n=1}^{\infty}$ can never be a Schauder basis of $L^{2 ...
Hou, Bingzhe +3 more
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Supersonic flows of the Euler–Poisson system with nonzero vorticities in three‐dimensional cylinders
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We prove the unique existence of three‐dimensional supersonic solutions to the steady Euler–Poisson system in cylindrical nozzles. First, we establish the unique existence of irrotational solutions in a cylindrical nozzle with an arbitrary cross‐section with using weighted Sobolev norms.
Myoungjean Bae, Hyangdong Park
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Approximation in Müntz Spaces MΛ,p of Lp Functions for 1 < p < ∞ and Bases
Mathematics, 2017 Müntz spaces satisfying the Müntz and gap conditions are considered. A Fourier approximation of functions in the Müntz spaces MΛ,p of Lp functions is studied, where 1 < p < ∞.
Sergey V. Ludkowski
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Polynomial Schauder basis of optimal degree with Jacobi orthogonality
Journal of Approximation Theory, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Prestin, Jürgen, Schnieder, Jörn
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Environmental Microbiology, Volume 27, Issue 3, March 2025.In this study, we used micromanipulation and omics to analyse 15 large filamentous bacteria collected from sulphidic sediments off Chile. We discovered novel species from various phyla, and diverse metabolic pathways and defence mechanisms were identified, highlighting their adaptability to the sediment–water interface and resilience against phage ...
Alexis Fonseca +5 more
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On the Domain of the Pell-Lucas Matrix in the Spaces c and c_0
Dera Natung Government College Research JournalIn this study, we introduce new Banach sequence spaces $c(\Theta), c_0(\Theta)$, defined via a regular infinite matrix $ \Theta = (\lambda_{nk})$, where \[ \Theta_{nk} = \begin{cases} \dfrac{2\lambda_k}{3\lambda_n+\lambda_{n-1}} & 0 \leq k \leq n ...
Shiva Shah
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