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Norm Hilbert spaces

1998
Let \(K\) be a field complete with respect to some valuation 1.1 and let \(E=(E,\|\cdot \|)\) be a \(K\)-Banach space. \(K\)-Banach spaces \(E\) such that for each closed subspace \(D\) there exists a linear surjective projection \(P:E\to D\) satisfying \(\| Px\|\leq\| x\|\) for all \(x\in E\) are called norm Hilbert spaces (NHS). The authors introduce
Ochsenius, H., Schikhof, W.H.
openaire   +2 more sources

A family of Hilbert spaces which are not reproducing kernel Hilbert spaces.

2003
For a given countable dense subset \(A\) of the unit disc \(\mathbb D\) a Hilbert space \(E\) of analytic functions on \(\mathbb D\) is constructed in such a way that for every point of \(A\) the corresponding point evaluation functional is unbounded on \(E\).
Mills, Terence., Alpay, Daniel.
openaire   +1 more source

Data-Driven Optimization: A Reproducing Kernel Hilbert Space Approach

Operations Research, 2022
Nihal Koduri, Dimitris Bertsimas
exaly  

Synthetic Hilbert Space Engineering of Molecular Qudits: Isotopologue Chemistry

Advanced Materials, 2019
Mario Ruben, Wolfgang Wernsdorfer
exaly  

A Hilbert Space Embedding for Distributions

Lecture Notes in Computer Science, 2007
Bernhard Schölkopf   +2 more
exaly  

On Lipschitz Embedding of Finite Metric Spaces in Hilbert Space

Israel Journal of Mathematics, 1985
Jean Bourgain
exaly  

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