Results 11 to 20 of about 481,322 (128)
Closed ideals in the algebra of compact-by-approximable operators [PDF]
, 2021 We construct various examples of non-trivial closed ideals of the compact-by-approximable algebra $\mathfrak{A}_X =:\mathcal K(X)/\mathcal A(X)$ on Banach spaces $X$ failing the approximation property.
Tylli, Hans-Olav, Wirzenius, Henrik
core +1 more source
Gluing Approximable Triangulated Categories [PDF]
, 2023 Given a bounded-above cochain complex of modules over a ring, it is standard to replace it by a projective resolution, and it is classical that doing so can be very useful.
Jesse Burke +8 more
core +1 more source
Badly approximable systems of affine forms, fractals, and Schmidt games
, 2011 A badly approximable system of affine forms is determined by a matrix and a vector. We show Kleinbock's conjecture for badly approximable systems of affine forms: for any fixed vector, the set of badly approximable systems of affine forms is winning (in ...
J Tseng (16231643) +1 more
core +7 more sources
Lipschitz approximable Banach spaces [PDF]
, 2001 summary:We show the existence of Lipschitz approximable separable spaces which fail Grothendieck's approximation property. This follows from the observation that any separable space with the metric compact approximation property is Lipschitz approximable.
Godefroy, Gilles, Peter G. Casazza
core +1 more source
Some closure results for C-approximable groups [PDF]
, 2017 We investigate closure results for $\C$-approximable groups, for certain classes $\C$ of groups with invariant length functions. In particular we prove, each time for certain (but not necessarily the same) classes $\C$ that: \linebreak (i) the direct ...
Derek Holt +3 more
core +1 more source
Some closure results for C-approximable groups [PDF]
We investigate closure results for C-approximable groups, for certain classes C of groups with invariant length functions. In particular we prove, each time for certain (but not necessarily the same) classes C that: (i) the direct product of two C ...
Holt DF, Rees S
core +3 more sources
Badly approximable points on manifolds [PDF]
, 2015 Addressing a problem of Davenport we show that any finite intersection of the sets of weighted badly approximable points on any analytic nondegenerate manifold in has full dimension.
Victor Beresnevich, Beresnevich, Victor
core +1 more source
ON LOCAL APPROXIMATION OF POSITIVE OPERATORS
Demonstratio Mathematica, 2002 The main purpose of the paper is to extend some up-down theorems obtained by \textit{G. J. H. M. Buskes, P. G. Dodds, B. de Patger} and \textit{A. R. Schep} [Indag. Math. 48, 1--9 (1986; Zbl 0597.46009)] who proved that if \(E\) is a Banach lattice with quasi-interior points, \(F\) is a Dedekind complete Riesz space and \(\tilde F_n\) separates the ...
Alpay, Şafak, UYAR, AYŞE
openaire +2 more sources
On the best approximation of the differentiation operator [PDF]
Ural mathematical journal, 2015 Summary: In this paper we give a solution of the problem of the best approximation in the uniform norm of the differentiation operator of order \(k\) by bounded linear operators in the class of functions with the property that the Fourier transforms of their derivatives of order \(n ...
openaire +4 more sources
Self-induced compactness in Banach spaces [PDF]
, 1996 We consider the question: is every compact set in a Banach space X contained in the closed unit range of a compact (or even approximable) operator on X? We give large classes of spaces where the question has an affirmative answer, but observe that it has
P. G. Casazza +3 more
core +1 more source