1.

Record Nr.

UNINA9910484112903321

Autore

Defant Andreas

Titolo

Classical summation in commutative and noncommutative LP-spaces / / Andreas Defant

Pubbl/distr/stampa

New York, : Springer, 2011

ISBN

9783642204388

3642204384

Edizione

[1st ed. 2011.]

Descrizione fisica

1 online resource (VIII, 171 p. 17 illus.)

Collana

Lecture notes in mathematics (Springer-Verlag), , 0075-8434 ; ; 2021

Disciplina

515

Soggetti

Lp spaces

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and indexes.

Nota di contenuto

1 Introduction -- 2 Commutative Theory -- 3 Noncommutative Theory.

Sommario/riassunto

The aim of this research is to develop a systematic scheme that makes it possible to transform important parts of the by now classical theory of summation of general orthonormal series into a similar theory for series in noncommutative $L_p$-spaces constructed over a noncommutative measure space (a von Neumann algebra of operators acting on a Hilbert space  together with a faithful normal state on this algebra).