Approximation numbers of nuclear and Hilbert-Schmidt multilinear forms defined on Hilbert spaces

Hernando B

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Approximation numbers of nuclear and Hilbert-Schmidt multilinear forms defined on Hilbert spaces

机译：Hilbert空间上定义的核和Hilbert-Schmidt多线性形式的逼近数

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We deal with multilinear forms t defined on Hilbert spaces and we investigate the relationships between nuclearity of t (respectively to be of Hilbert-Schmidt type) and summability properties of certain approximation numbers of t. (C) 2007 Elsevier Inc. All rights reserved.

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《Journal of Mathematical Analysis and Applications》 |2008年第2期|共9页
作者
Hernando B;
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正文语种 eng
中图分类数学;
关键词
nuclear multilinear forms; Hilbert-Schmidt multilinear forms; approximation numbers; TRILINEAR FORMS;

机译：核多线性形式;希尔伯特-施密特多线性形式;逼近数;三线性形式;

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1. Approximation numbers of nuclear and Hilbert-Schmidt multilinear forms defined on Hilbert spaces [J] . Hernando B Journal of Mathematical Analysis and Applications . 2008,第2期

机译：Hilbert空间上定义的核和Hilbert-Schmidt多线性形式的逼近数
2. Symmetric multilinear forms on Hilbert spaces: Where do they attain their norm? [J] . Carando Daniel, Tomas Rodriguez Jorge Linear Algebra and its Applications . 2019,第期

机译：希尔伯特空间对称多线性形式：他们在哪里达到常态？
3. Tractability of multivariate approximation defined over Hilbert spaces with exponential weights [J] . Irrgeher Christian, Kritzer Peter, Pillichshammer Friedrich, Journal of Approximation Theory . 2016,第Null期

机译：具有指数权重的希尔伯特空间上定义的多元逼近的可牵引性
4. AN APPROXIMATION FORMULA IN HILBERT SPACE [C] . ZHIHUA ZHANG, NAOKI SAITO International Workshop on Computational Sciences and its Education . 2008

机译：希尔伯特空间中的近似公式
5. Some contributions to analysis: A new space of generalized functions for integro-differential equations involving Hilbert transforms, and a note on the non-nuclearity of a space of test functions on Hilbert space. [D] . Donnelly, Roderick Kerry. 1988

机译：对分析的一些贡献：涉及Hilbert变换的积分微分方程的广义函数的新空间，以及关于Hilbert空间上测试函数的空间的非核性的注释。
6. Parallel Magnetic Resonance Imaging as Approximation in a Reproducing Kernel Hilbert Space [O] . Vivek Athalye, Michael Lustig, Martin Uecker -1

机译：再现核希尔伯特空间中的并行磁共振成像。
7. Approximation numbers of nuclear and Hilbert–Schmidt multilinear forms defined on Hilbert spaces [O] . Hernando Beatriz 2008

机译：在希尔伯特空间上定义的核和希尔伯特-施密特多线性形式的逼近数
8. Hilbert-Schmidt Norm Convergence of Galerkin Approximation for Operator Riccati Equations [R] . Rosen, I. G. 1988

机译：算子Riccati方程的Galerkin逼近的Hilbert-schmidt范数收敛性

Approximation numbers of nuclear and Hilbert-Schmidt multilinear forms defined on Hilbert spaces

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