## Banach-Mazur distances and finite-dimensional operator ideals |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Special operator ideals | 30 |

Extremal ellipsoids determined by ideal norms | 114 |

More about q rsumming operators | 139 |

Copyright | |

10 other sections not shown

### Common terms and phrases

2-summing 2)-summing norms argument assume Banach lattice Banach-Mazur distance cogradations completes the proof concludes the proof convex Corollary cotype q defined denote diagonal operator dim F dimensional gradation dual Dvoretzky's theorem ellipsoid en(Z Euclidean norm factorization Figiel finite sequence finite-dimensional Banach spaces finite-dimensional subspace follows formal identity operator functions Gaussian Hausdorff space Hilbert space ideal norms implies inequality infimum interpolation invariant isometric isomorphism K-convex Lemma let u e Lp-factorable matrix maximal volume Moreover n-dimensional Banach space normed operator ideal numbers operator norm operators acting orthogonal matrix orthogonal projection orthonormal basis p-nuclear p-summing operators particular Pelczynski Pietsch Pisier positive integer Proof Let proof of Theorem properties proved r)-summing Rademacher Rademacher functions resp result satisfies scalars shows space and let subset subspace symmetric spaces Tomczak-Jaegermann u e L(E ultraproduct unit ball unit vector basis unitary ideals universal constant vector basis