Introduction Spectral Properties Weighted Shifts Weighted Shifts Weighted Shifts Normal Operators

George Washington

Description

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

Sujets

• Rodríguez
• Zayed University
• Washington
• Direct sum
• Abu Dhabi

Informations

• Publié par: profil-urra-2012
• Nombre de lectures: 34
• Langue: English

Extrait

Introduction

Spectral Properties

Weighted Shifts

Weighted Shifts

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

Weighted Shifts

Weighted Shifts

Normal Operators

Joint work with Alejandro Rodriguez of Zayed University, Abu Dhabi

Introduction

Spectral Properties

Introduction

Weighted Shifts

Weighted Shifts

Weighted Shifts

Normal Operators

Joint work with Alejandro Rodriguez of Zayed University, Abu Dhabi TheproblemwassuggestedbyGabrielPr ˇ ajitura ˇ .

Introduction

Spectral Properties

Introduction

Weighted Shifts

Weighted Shifts

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

Weighted Shifts

Weighted Shifts

Normal Operators

Say that an operatorAsatisfiesCondition SifA 2 is similar toA (2) =A⊕A. Say thatAsatisfiesCondition UifA 2 is unitarily equivalent toA⊕A.

Introduction

Spectral Properties

Introduction

Weighted Shifts

Weighted Shifts

Weighted Shifts

Normal Operators

Say that an operatorAsatisfiesCondition SifA 2 is similar toA (2) =A⊕A. Say thatAsatisfiesCondition UifA 2 is unitarily equivalent toA⊕A.

Why?

Introduction

Spectral Properties

Example The unilateral

Weighted Shifts

Weighted Shifts

Weighted Shifts

Normal Operators

shift and the bilateral shift satisfy Condition U.