## Linear Operators, Part 2 |

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Page 1797

J .

. Acta

Two sided ideals and congruences in the ring of bounded operators in Hilbert ...

J .

**Math**. 78 , 282 – 288 ( 1956 ) . 4 . On the existence of certain singular integrals. Acta

**Math**. 88 , 85 – 189 ( 1952 ) . 5 . ...**Math**. Soc . 45 , 369 - 442 ( 1939 ) . 2 .Two sided ideals and congruences in the ring of bounded operators in Hilbert ...

Page 1851

Studia

Fourier transforms in the complex domain . Amer .

no ...

**Math**. Soc . 39 , 259 - 260 ( 1933 ) . 3 . Some theorems on orthogonal functions .Studia

**Math**. 3 , 226 – 238 ( 1931 ) . Paley , R . E . A . C . , and Wiener , N . 1 .Fourier transforms in the complex domain . Amer .

**Math**. Soc . Colloquium Pub .no ...

Page 1878

10 . On the location of continuous spectra . Amer . J .

11 . Asymptotic integrations of the adiabatic oscillator in its hyperbolic range .

Duke

.

10 . On the location of continuous spectra . Amer . J .

**Math**. 70 , 22 - 30 ( 1948 ) .11 . Asymptotic integrations of the adiabatic oscillator in its hyperbolic range .

Duke

**Math**. J . 15 , 55 - 67 ( 1948 ) . 12 . On Dirac ' s theory of continuous spectra.

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

57 other sections not shown

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### Common terms and phrases

additive adjoint operator 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 derivatives determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function give 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 shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero