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Commutative algebras of Toeplitz operators on the Bergman space by Vasilevski, Nikolai. is a nonfiction available to read on EtoBox.

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<p><p>this Book Is Devoted To The Spectral Theory Of Commutative C*-algebras Of Toeplitz Operators On The Bergman Space And Its Applications. For Each Such Commutative Algebra There Is A Unitary Operator Which Reduces Toeplitz Operators From This Algebra To Certain Multiplication Operators, Thus Providing Their Spectral Type Representations. This Yields A Powerful Research Tool Giving Direct Access To The Majority Of The Important Properties Of The Toeplitz Operators Studied Herein, Such As Boundedness, Compactness, Spectral Properties, Invariant Subspaces.<p>the Presence And Exploitation Of These Spectral Type Representations Forms The Core For Many Results Presented In The Book. Among Other Results It Contains A Criterion Of When The Algebras Are Commutative On Each Commonly Considered Weighted Bergman Space Together With Their Explicit Descriptions; A Systematic Study Of Toeplitz Operators With Unbounded Symbols; A Clarification Of The Difference Between Compactness Of Commutators And Semi-commutators Of Toeplitz Operators; The Theory Of Toeplitz And Related Operators With Symbols Having More Than Two Limit Values At Boundary Points; And A Kind Of Semi-classical Analysis Of Spec

Who reads Commutative algebras of Toeplitz operators on the Bergman space?

Author

Vasilevski, Nikolai.

Publisher

Birkhäuser ; Springer, distributor], 2008.

Published

2008

Language

EN

ISBN

9783764387266

Category

nonfiction

Subjects

Mathematics, Stem