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Boolean algebras of projections and ranges of spectral measures

100%

Okada S., Ricker W. J.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Introduction...............................................................................5 1. Preliminaries.........................................................................7 2. Relative weak compactness of the range............................13 3. Closed spectral measures...................................................16 4. Spectral measures and B.a.'s of projections........................22 References..............................................................................45

Vector-valued multipliers: convolution with operator-valued measures

82%

Gaudry G. I., Ricker W. J., Jefferies B. R. F.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Preface.........................................................................................................5 1. Introduction...............................................................................................6 1.1. Measurability and vector measures.....................................................6 1.2. Convolution and vector measures.....................................................12 1.3. Operator-valued measures................................................................14 2. Harmonic analysis....................................................................................17 2.1. Commutative harmonic analysis for vector-valued functions...............17 3. Convolution with respect to operator-valued measures...........................24 3.1. General theory....................................................................................24 3.2. Vector-valued p-multipliers..................................................................28 3.3. Characterising operator-valued Fourier-Stieltjes transforms..............44 3.4. Strong 1-multipliers.............................................................................47 3.5. Locally compact groups in general: Wendel's theorem.......................54 3.6. Costé's theorem..................................................................................57 4. Convolution with respect to spectral measures........................................60 4.1. General theory....................................................................................60 4.2. Translation: the canonical spectral measure on L²(G)........................65 4.3. Applications........................................................................................72 References..................................................................................................74 Index............................................................................................................76

Ograniczanie wyników

2 Ricker W. J.

1 Gaudry G. I.

1 Jefferies B. R. F.

1 Okada S.

1 2000

1 1997

Wyniki wyszukiwania

Boolean algebras of projections and ranges of spectral measures

Vector-valued multipliers: convolution with operator-valued measures