Isomorphic embeddings of some generalized power series spaces
Iterative refinement for approximate eigenelements of compact operators
-spaces between which all the operators are compact. I.
-spaces between which all the operators are compact. II.
Linear operators on for dispersed
Lipschitz continuity in Muckenhoupt 𝓐₁ weighted function spaces
We study continuity envelopes of function spaces and where the weight belongs to the Muckenhoupt class ₁. This essentially extends partial forerunners in [13, 14]. We also indicate some applications of these results.
Lower bounds for eigenvalues of Schatten-von Neumann operators.
MD-numbers and asymptotic MD-numbers of operators.
Metric entropy of convex hulls in Hilbert spaces
Let T be a precompact subset of a Hilbert space. We estimate the metric entropy of co(T), the convex hull of T, by quantities originating in the theory of majorizing measures. In a similar way, estimates of the Gelfand width are provided. As an application we get upper bounds for the entropy of co(T), , , by functions of the ’s only. This partially answers a question raised by K. Ball and A. Pajor (cf. [1]). Our estimates turn out to be optimal in the case of slowly decreasing sequences .
M-Ideals of Compact Operators.
Modal stabilizability and spectral synthesis
Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates
Let X be a metric space with doubling measure and L a one-to-one operator of type ω having a bounded H∞ -functional calculus in L2(X) satisfying the reinforced (pL; qL) off-diagonal estimates on balls, where pL ∊ [1; 2) and qL ∊ (2;∞]. Let φ : X × [0;∞) → [0;∞) be a function such that φ (x;·) is an Orlicz function, φ(·;t) ∊ A∞(X) (the class of uniformly Muckenhoupt weights), its uniformly critical upper type index l(φ) ∊ (0;1] and φ(·; t) satisfies the uniformly reverse Hölder inequality of order...
New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals [Book]
Noyaux absolument mesurables ou basiques et opérateurs nucléaires
On a formula of le Merdy for the complex interpolation of tensor products.
On a tensor product of weakly compact mappings
On a theorem of Ky Fan
On a Theorem of Ky-Fan Type
On an inclusion between operator ideals
Let and . We prove that , the ideal of operators of Geľfand type , is contained in the ideal of -absolutely summing operators. For this generalizes a result of G. Bennett given for operators on a Hilbert space.
On Calderón-Toeplitz Operators.