Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support [PDF]
, 2016 Let $\lambda$ be an infinite cardinal number and let $\ell_\infty^c(\lambda)$ denote the subspace of $\ell_\infty(\lambda)$ consisting of all functions that assume at most countably many non-zero values.
Johnson, William B. +2 more
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Weak type operator Lipschitz and commutator estimates for commuting tuples [PDF]
, 2017 Let $f: \mathbb{R}^d \to\mathbb{R}$ be a Lipschitz function. If $B$ is a bounded self-adjoint operator and if $\{A_k\}_{k=1}^d$ are commuting bounded self-adjoint operators such that $[A_k,B]\in L_1(H),$ then $$\|[f(A_1,\cdots,A_d),B]\|_{1,\infty}\leq c ...
Caspers, Martijn +2 more
core +3 more sources
Global smooth solutions to a class of one-dimensional hyperbolic problems with boundary damping
Differential and Integral Equations, 2004 In this paper an initial-boundary-value problem fo a nonlinear string (or wave)equation with nonclassical boundary conditioned is considered. One end of the string is assumed to be fixed and the other end of the string is attached to a dashpot system ...
Darmawijoyo, P. Clément, W. T. Horssen
semanticscholar +1 more source
NONCLASSICAL SPECTRAL ASYMPTOTICS AND DIXMIER TRACES: FROM CIRCLES TO CONTACT MANIFOLDS
Forum of Mathematics, Sigma, 2017 We consider the spectral behavior and noncommutative geometry of commutators $[P,f]$ , where ...
HEIKO GIMPERLEIN, MAGNUS GOFFENG
doaj +1 more source
ON LINEAR AND MULTILINEAR MAPPINGS OF NUCLEAR TYPE
, 2014 In this work, a technique is used in order to demonstrate the following lemmas “If s ∈ F(E,C(K)), then N0 ∞(S) = ‖S‖” and “If S ∈ F(E,Lp(Ω, μ)), then K 0 p(S) = ‖S‖” and open question is answered in 18.1.16 which belong to Albert Pietsch, at the same ...
B.M.C. Magui na, J. M. Ramos, H. na
semanticscholar +1 more source
The ideal of weakly compactly generated operators acting on a Banach space [PDF]
, 2013 We call a bounded linear operator acting between Banach spaces weakly compactly generated ($\mathsf{WCG}$ for short) if its range is contained in a weakly compactly generated subspace of its codomain.
Kania, Tomasz, Kochanek, Tomasz
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Hierarchical zonotopal spaces [PDF]
, 2010 Zonotopal algebra interweaves algebraic, geometric and combinatorial properties of a given linear map X. Of basic significance in this theory is the fact that the algebraic structures are derived from the geometry (via a non-linear procedure known as ...
Holtz, Olga, Ron, Amos, Xu, Zhiqiang
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Trace-class perturbation and strong convergence: Wave operators revisited
, 2000 We give a new construction of wave operators for a self-adjoint operator under trace-class perturbation. This construction requires no quantitative estimates. The well-known theorem of Kato and Rosenblum [2], [5] asserts that if A and A' are self-adjoint
Jingbo Xia
semanticscholar +1 more source
Semicrossed products of the disk algebra and the Jacobson radical
, 2012 We consider semicrossed products of the disk algebra with respect to endomorphisms defined by finite Blaschke products. We characterize the Jacobson radical of these operator algebras.
Anchalee Khemphet +10 more
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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
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