## Approximation of Hilbert space operators, Volume 1 |

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### Contents

Stability and approximation | 1 |

Approximation problems in finite dimensional spaces | 13 |

The main tools of approximation | 48 |

Copyright | |

8 other sections not shown

### Common terms and phrases

9 ker A G C algebraic operators Apostol approximation argument Banach algebra Banach space C. M. Pearcy C*-algebra Calkin algebra clopen subset closed commuting compact operator compact perturbation compact quasinilpotent completely apparent component Corollary 3.22 D. A. Herrero decomposition defined denote dense denumerable diagonal easily seen exists a sequence finite dimensional space finite rank operator Foias fortiori Fredholm operator function Furthermore given Hence hermitian Hilbert space ind(A infinite invariant subspace isolated point Jordan operator ker(A Lemma Let T G Math matrix n-tuple nice Jordan nilpotent nilpotent operators nonempty Nonlinear normal operator nul(A numbers Observe obtain oe(A oe(T operator acting orthogonal projection polynomial problems proof of Theorem Pures et Appl quasinilpotent operators quasitriangular readily follows result satisfies semi-Fredholm semi-Fredholm operator similarity orbits spectral spectrum T G H unitarily equivalent unitary operator vector Voiculescu