## Linear Operators, Part 2 |

### From inside the book

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Page 1800

Branch points of solutions of equations in

definition of degree for certain mappings in Hilbert space. Amer. J. Math. ... Ref!e.

rive

Branch points of solutions of equations in

**Banach space**. Trans. Amer. .\1ath. ... Adefinition of degree for certain mappings in Hilbert space. Amer. J. Math. ... Ref!e.

rive

**Banach spaces**not isomorphic to uniformly convex spaces. Bull. .-\m('I'.Page 1845

French summary). A characterization of the normed vector ordered

continuous junctions over a compact

I theorem of the Hahn-

French summary). A characterization of the normed vector ordered

**spaces**ofcontinuous junctions over a compact

**space**. Amer. J. Math. 71, 701-705 (1949). .-I theorem of the Hahn-

**Banach**type for linear transformations. Trans. Amer. Math.Page 1869

On linear equations in Hilbert space. Mat. Sbornik N. S. 29 (71), ... Stone, M. H.)

On the compactness ofthe space L,. Bull. Amer. Math. Soc. ... U.S.A. 25, 488-440 (

1939). On certain

On linear equations in Hilbert space. Mat. Sbornik N. S. 29 (71), ... Stone, M. H.)

On the compactness ofthe space L,. Bull. Amer. Math. Soc. ... U.S.A. 25, 488-440 (

1939). On certain

**Banach spaces**whose elements are analytic functions.### What people are saying - Write a review

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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

Acad adjoint extension adjoint operator algebra Amer analytic B-algebra Banach spaces Borel set boundary conditions boundary values bounded operator closed closure coefficients complex numbers continuous function converges Corollary deficiency indices Definition denote dense differential equations Doklady Akad domain eigenfunctions eigenvalues element essential spectrum exists finite dimensional follows from Lemma follows from Theorem follows immediately formal differential operator formally self adjoint formula Fourier function f Haar measure Hence Hilbert space Hilbert-Schmidt operator hypothesis identity inequality integral interval kernel Lemma Let f linear operator linearly independent mapping matrix measure Nauk SSSR N. S. neighborhood norm open set operators in Hilbert orthogonal orthonormal Paoor partial differential operator Pnoor positive preceding lemma Proc prove real axis real numbers representation satisfies second order Section sequence singular solution spectral set spectral theory square-integrable subspace Suppose symmetric operator topology transform unique unitary vanishes vector zero