Introduction Spectral Properties Weighted Shifts Weighted Shifts Weighted Shifts Normal Operators

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Introduction Spectral Properties Weighted Shifts Weighted Shifts Weighted Shifts Normal Operators Powers and Direct Sums John B Conway George Washington University Washington, DC Operator Theory and Related Topics Lille, May 31-June 3, 2010

shifts weighted

direct sums

abu dhabi

university washington

all hilbert spaces

related topics

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Publié par

profil-urra-2012

Langue

English

Introduction

Spectral Properties

Weighted Shifts

Powers and Direct Sums

John B Conway

George Washington University Washington, DC

Operator Theory and Related Topics Lille, May 31-June 3, 2010

Normal Operators

Introduction

Spectral Properties

Introduction

Weighted Shifts

Normal Operators

Joint work with Alejandro Rodriguez of Zayed University, Abu Dhabi

Introduction

Spectral Properties

Introduction

Weighted Shifts

Normal Operators

Joint work with Alejandro Rodriguez of Zayed University, Abu Dhabi TheproblemwassuggestedbyGabrielPrˇajituraˇ.

Introduction

Spectral Properties

Introduction

Weighted Shifts

Normal Operators

All Hilbert spaces are separable and complex. For any operatorAand 1≤n≤ ∞,A(n)denotes the direct sum ofAwith itselfntimes.

Introduction

Spectral Properties

Introduction

Weighted Shifts

Normal Operators

Say that an operatorAsatisﬁesCondition SifA2is similar toA(2)=A⊕A. Say thatAsatisﬁesCondition UifA2is unitarily equivalent toA⊕A.

Introduction

Spectral Properties

Introduction

Weighted Shifts

Normal Operators

Say that an operatorAsatisﬁesCondition SifA2is similar toA(2)=A⊕A. Say thatAsatisﬁesCondition UifA2is unitarily equivalent toA⊕A.

Why?

Introduction

Spectral Properties

Example The unilateral

Weighted Shifts

Normal Operators

shift and the bilateral shift satisfy Condition U.

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