## Linear Operators: Spectral theory |

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Results 1-3 of 18

Page 1246

A continuity argument shows that (Bar, y) = (a, y) for a e S), ye Q(T), and that |

itself, we see B is an operator in § of norm at most one. Since for a and y in the ...

A continuity argument shows that (Bar, y) = (a, y) for a e S), ye Q(T), and that |

**Ba**'**s**|Barlı is a for a e $). Thus regarding B as a mapping of § into a dense subset ofitself, we see B is an operator in § of norm at most one. Since for a and y in the ...

Page 1442

... an integer not greater than n. Suppose that there eacists a finite constant M

such that fol:

differential operator of the form k d\? - t) ||—| , T1 2. a;(t)

= 0, ..., k.

... an integer not greater than n. Suppose that there eacists a finite constant M

such that fol:

**s**M(tf;+|f|}}, fe osTo(r)). Let ti be a (regular or irregular) formaldifferential operator of the form k d\? - t) ||—| , T1 2. a;(t)

**s**#) where lim-**ba**,(t) = 0, j= 0, ..., k.

Page 1893

... 1635, 1748 Leader,

234, 390 Lefschetz,

927, 928, 929 Leray, J., 84,470, 609 Levi, B., 373 Levinson, N., 1266, 1433, 1434

, ...

... 1635, 1748 Leader,

**S**., 233 Lebesgue, H., 80, 124, 132, 143, 151, 218, 232,234, 390 Lefschetz,

**S**., 47, 467 Legendre, A. M., 1512 Leja, F., 79 Lengyel,**B. A.**,927, 928, 929 Leray, J., 84,470, 609 Levi, B., 373 Levinson, N., 1266, 1433, 1434

, ...

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### Contents

SPECTRAL THEORY | 858 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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### Common terms and phrases

additive Akad algebra Amer analytic applied assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complete 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 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