## Linear Operators: Spectral theory |

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Page 1099

... every finite matrix may be approximated arbitrarily closely by non-

matrices, it is sufficient to consider the case in which T is non-

TT*)'/* is also non-

and ...

... every finite matrix may be approximated arbitrarily closely by non-

**singular**matrices, it is sufficient to consider the case in which T is non-

**singular**. Then A = (TT*)'/* is also non-

**singular**and if U = A-1T, UU* = A-A*A-1 = I, then U is unitary,and ...

Page 1184

2, via lar-y are A These B-spaces have been studied extensively in connection

with the theory of

CalderónZygmund type may be shown under suitable hypotheses to map

functions satisfying a ...

2, via lar-y are A These B-spaces have been studied extensively in connection

with the theory of

**singular**integrals.**Singular**integrals of Hilbert-CalderónZygmund type may be shown under suitable hypotheses to map

functions satisfying a ...

Page 1919

... III.1.1 (95) regular, definition, III.5.11 (137) properties, III.5.12–14 (137–138), III.

9.19–22 (170), IV.13.75 (350), IV.6.1–3 (261-265) relativization or restrictions of,

III.8 definition, o-finite, III.5.7 (136)

...

... III.1.1 (95) regular, definition, III.5.11 (137) properties, III.5.12–14 (137–138), III.

9.19–22 (170), IV.13.75 (350), IV.6.1–3 (261-265) relativization or restrictions of,

III.8 definition, o-finite, III.5.7 (136)

**singular**, III.4.12 (131) spaces of, as conjugate...

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### Contents

SPECTRAL THEORY | 858 |

868 | 885 |

Miscellaneous Applications | 937 |

Copyright | |

38 other sections not shown

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additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero