## Topics in linear operator theory: corso di lezioni tenute nell'aprile 1976 |

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### Contents

PreFace Pag | 5 |

SPECIAL CLASSES OF CONTINUOUS LINEAR OPERATORS | 55 |

SPECIAL CLASSES OF CONTINUOUS LINEAR OPERATORS | 92 |

7 other sections not shown

### Common terms and phrases

adjoint algebra with unit arbitrary assertion Banach algebra Banach space bounded linear operators bounded set class of operators clear commutative compact operator compact set complex numbers conjugate operators consider contains continuous linear contradiction conv convergent Corollary countable define DEFinItIon denotes dilation double positive easy eigenvalue exists finite dimensional finite number fixed point following properties following theorem gives Gj-property Hamel basis hermitian operator Hilbert space inner product integer invariant subspace lemma Let 3C linear functional linear space linear subspace locally k-set contraction measure of noncompactness metric space norm normal eigenvalue normal operator normaloid numerical range obvious open set operators on Hilbert orthogonal polynomial positive operators Proof proves the theorem relation Remark result sequence spectral measure spectral set spectrum subs pace subset symmetrizable operators theorem is proved theory topological space unitary weak topology xe3C zero