Results 241 to 250 of about 788,948 (294)

Relative entropy of Z-numbers

Information Sciences, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Yangxue   +3 more
openaire   +1 more source

Entropy Numbers of Compact Operators

Bulletin of the London Mathematical Society, 1986
In this paper it is shown that if T is a compact linear map of a Hilbert space to itself and \(| T|\) is the positive square root of \(T^*T\), then for all \(n\in {\mathbb{N}}\), \(e_ n(T)=e_ n(T^*)=e_ n(| T|)\), where \(e_ n(S)\) is the \(n^{th}\) entropy number of S.
Edmunds, D. E., Edmunds, R. M.
openaire   +2 more sources

Continuous Symmetry Numbers and Entropy

Journal of the American Chemical Society, 2003
Traditionally, entropy changes are corrected for rotational permutability only if the molecule is perfectly rotationally symmetric. By this approach, only a small fraction of all known molecules must be evaluated in terms of symmetry numbers, while all other molecules are totally exempt of these considerations.
Ernesto, Estrada, David, Avnir
openaire   +2 more sources

OnA-Compact Operators, Generalized Entropy Numbers and Entropy Ideals

Mathematische Nachrichten, 1984
Using the notion of precompact subset in a Banach space, the authors introduce what are called A-compact sets referring to a given operator ideal A. Based upon this concept, A-compact operators are defined between Banach spaces. It is established that both A compact sets and A compact operators admit similar characterizations as precompact sets and ...
Carl, Bernd, Stephani, Irmtraud
openaire   +2 more sources

Entropy Numbers and Approximation Numbers in Function Spaces, II

Proceedings of the London Mathematical Society, 1989
This paper continues the study of entropy and approximation numbers related to compact embeddings between scales of Besov type function spaces \(B^ s_{p,q}\). In a previous paper [Proc. London Math Soc., III. Ser. 58, No. 1, 137-152 (1989; Zbl 0629.46034)], the authors obtained estimates from above for the entropy numbers \(e_ k\) and approximation ...
Edmunds, D. E, Triebel, H.
openaire   +1 more source

Entropy numbers and interpolation

Mathematische Annalen, 2010
This paper settles a long-standing question by showing that in certain circumstances the entropy numbers of a map do not behave well under real interpolation, that is, that an inequality of the form \[ e_{m+n-1}(T: (X_0,X_1)_{\theta,q} \to (Y_0,Y_1)_{\theta,q}) \leq C \, e_m(T:X_0 \to Y_0)^{1-\theta} e_n(T:X_1 \to Y_1)^\theta \] is not possible in ...
Edmunds, DE, Netrusov, Y
openaire   +2 more sources

Home - About - Disclaimer - Privacy