Results 51 to 60 of about 2,281,033 (352)
Equivalence after extension for compact operators on Banach spaces
, 2015 In recent years the coincidence of the operator relations equivalence after extension and Schur coupling was settled for the Hilbert space case, by showing that equivalence after extension implies equivalence after one-sided extension.
Messerschmidt, Miek +2 more
core +1 more source
Spaces of compact operators [PDF]
Mathematische Annalen, 1974 In this paper we study the structure of the Banach space K(E, F) of all compact linear operators between two Banach spaces E and F. We study three distinct problems: weak compactness in K(E, F), subspaces isomorphic to l~ and complementation of K(E, F) in L(E, F), the space of bounded linear operators.
openaire +1 more source
Compact composition operators [PDF]
Journal of the Australian Mathematical Society, 1979 AbstractLet (Хζ,λ) be a σ-finite measure space, and let ϕ be a non-singular measurable transformation from X into itself. Then a composition transformation Cϕ on L2(λ) is defined by Cϕf = f ∘ ϕ. If Cϕ is a bounded operator, then it is called a composition operator.
Ashok Kumar, R.K. Singh
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FEBS Letters, EarlyView.Three‐dimensional (3D) biological systems have become key tools in lymphoma research, offering reliable in vitro and ex vivo platforms to explore pathogenesis and support precision medicine. This review highlights current 3D non‐Hodgkin lymphoma models, detailing their features, advantages, and limitations, and provides a broad perspective on future ...
Carla Faria +3 more
wiley +1 more source
Molecular Oncology, EarlyView.This study develops a semi‐supervised classifier integrating multi‐genomic data (1404 training/5893 validation samples) to improve homologous recombination deficiency (HRD) detection in breast cancer. Our method demonstrates prognostic value and predicts chemotherapy/PARP inhibitor sensitivity in HRD+ tumours.
Rong Zhu +12 more
wiley +1 more source
Ideals of compact operators [PDF]
Journal of the Australian Mathematical Society, 2004 AbstractWe give an example of a Banach spaceXsuch thatK(X, X) is not an ideal inK(X, X**). We prove that ifz* is a weak* denting point in the unit ball of Z* and ifXis a closed subspace of a Banach spaceY, then the set of norm-preserving extensionsH B(x* ⊗z*) ⊆(Z*,Y)* of a functionalx* ⊗Z* ∈ (Z⊗X)* is equal to the setH B(x*) ⊗ {z*}.
Eve Oja, Åsvald Lima
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The Dirac operator on compact quantum groups [PDF]
, 2007 For the q-deformation Gq , 0 < q < 1, of any simply connected simple compact Lie group G we construct an equivariant spectral triple which is an isospectral deformation of that defined by the Dirac operator D on G.
S. Neshveyev, L. Tuset
semanticscholar +1 more source
On compactness of the dbar-Neumann problem and Hankel operators
, 2011 Let $\D=\D_1\setminus \Dc_2$, where $\D_1$ and $\D_2$ are two smooth bounded pseudoconvex domains in $\C^n, n\geq 3,$ such that $\Dc_2\subset \D_1.$ Assume that the $\dbar$-Neumann operator of $\D_1$ is compact and the interior of the Levi-flat points in
Celik, Mehmet, Sahutoglu, Sonmez
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Structural and functional characterization of chitinase from carnivorous plant Drosera adelae
FEBS Open Bio, EarlyView.A class I chitinase from the carnivorous plant Drosera adelae was expressed and purified using a yeast system, revealing high enzymatic activity. Structural analyses of the catalytic and chitin‐binding domains identified key tyrosine residues involved in substrate binding, offering insights into the enzyme's adaptation for insect digestion.
Kazunari Yoneda +7 more
wiley +1 more source
Frames and Homogeneous Spaces [PDF]
Journal of Sciences, Islamic Republic of Iran, 2011 Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with .
A. Ghaani Farashahi
doaj