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19962026
most citedGrothendieck's inequality and completely correlation preserving functions -- a summary of recent results and an indication of related research problems

6 citations · 13 across the 16 of their papers we have counts for

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10 papers · 1 filter

math.FA2023

Beyond trace class -- Tensor products of Hilbert spaces and operator ideals in quantum physics

Frank Oertel

Starting from the meaning of the conjugate of a complex Hilbert space, including a related application of the theorem of Fréchet-Riesz (by which an analysis of semilinear operators…

math.FA2023

Upper bounds for Grothendieck constants, quantum correlation matrices and CCP functions

Frank Oertel

Within the framework of the search for the still unknown exact value of the real and complex Grothendieck constant in the famous Grothendieck inequality (unsolved…

math.FA2020★ 6 cited

Grothendieck's inequality and completely correlation preserving functions -- a summary of recent results and an indication of related research problems

Frank Oertel

As part of the search for the value of the smallest upper bound of the best constant for the famous Grothendieck inequality, the so-called Grothendieck constant (a hard open proble…

math.FA2007

A Short Note on some open problems in the geometry of operator ideals

Frank Oertel

We list and discuss the background of some open problems, regarding the principle of local reflexivity for maximal Banach ideals.

math.FA2001

On normed products of operator ideals which contain as a factor

Frank Oertel

We investigate quasi-Banach operator ideal products which contain as a factor. In particular, we ask fo…

math.FA2001

The principle of local reflexivity for operator ideals and its implications

Frank Oertel

We present a survey of past research activities and current results in constructing a mathematical framework describing the principle of local reflexivity for operator ideals and r…

math.FA1999★ 1 cited

Extension of Finite Rank Operators and Local Structures in Operator Ideals

F. Oertel

We develop general techniques and present an approach to solve the problem of constructing a maximal Banach ideal which does not satisfy a transfer of the nor…

math.FA1996

Operators with extension property and the principle of local reflexivity

Frank Oertel

Given an arbitrary -Banach ideal , we ask for geometrical properties of this ideal which are sufficient (and necessary) to allow a transfer of the principle of l…

math.FA1996★ 1 cited

Composition of operator ideals and their regular hulls

Frank Oertel

Given two quasi-Banach ideals \oid{A}{}{} and \oid{B}{}{} we investigate the regular hull of their composition - $(\oid{A}{}{} \circ \oid{B}{}{})^{reg}$. In concrete situations thi…

math.FA1996

Local properties of accessible injective operator ideals

Frank Oertel

In addition to Pisier's counterexample of a non-accessible maximal Banach ideal, we will give a large class of maximal Banach ideals which {\it{are accessible}}. The first step is…