On the reflexivity of subspaces of Toeplitz operators on the Hardy space on the upper half-plane

Title:

On the reflexivity of subspaces of Toeplitz operators on the Hardy space on the upper half-plane

Creator:

Młocek, Wojciech and Ptak, Marek

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a61995d0-f166-4e46-b2b3-5e412c2fea6d
uuid:a61995d0-f166-4e46-b2b3-5e412c2fea6d

Subject:

reflexive subspace, transitive subspace, Toeplitz operator, Hardy space, and upper half-plane

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The reflexivity and transitivity of subspaces of Toeplitz operators on the Hardy space on the upper half-plane are investigated. The dichotomic behavior (transitive or reflexive) of these subspaces is shown. It refers to the similar dichotomic behavior for subspaces of Toeplitz operators on the Hardy space on the unit disc. The isomorphism between the Hardy spaces on the unit disc and the upper half-plane is used. To keep weak* homeomorphism between $L^\infty $ spaces on the unit circle and the real line we redefine the classical isomorphism between $L^1$ spaces.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

421-434

Source:

Czechoslovak Mathematical Journal | 2013 Volume:63 | Number:2

Harvested from:

CDK

Metadata only:

false