1.

Record Nr.

UNINA9910813788803321

Autore

Pluta Robert

Titolo

Ranges of bimodule projections and conditional expectations / / by Robert Pluta

Pubbl/distr/stampa

Newcastle upon Tyne : , : Cambridge Scholars Publishing, , 2013

ISBN

1-4438-6786-1

Descrizione fisica

1 online resource (212 p.)

Disciplina

512.25

Soggetti

Algebra

Rings (Algebra)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (pages 194-204).

Nota di contenuto

4.5 Row and Column Spaces4.6 Characterization of Row and Column Spaces; 4.7 Tripotents and Peirce Spaces; CHAPTER 5 - CORNERS IN C (K); 5.1 Retracts in Compact and Locally Compact Spaces; 5.2 Sigma-algebra of Sets and Commutative Algebras; 5.3 Algebras of Continuous Functions and Measures; 5.4 Common Zeros; 5.5 Discontinuous Conditional Expectations; 5.6 Review of Results on Automatic Continuity; 5.7 Closure Question - Commutative Case; 5.8 Existence of Bounded Conditional Expectations - Commutative Case; 5.9 Remarks on the Non-commutative Case; CHAPTER 6 - ADDENDUM

Sommario/riassunto

The algebraic theory of corner subrings introduced by Lam (as an abstraction of the properties of Peirce corners eRe of a ring R associated with an idempotent e in R) is investigated here in the context of Banach and C*-algebras. We propose a general algebraic approach which includes the notion of ranges of (completely) contractive conditional expectations on C*-algebras and on ternary rings of operators, and we investigate when topological properties are consequences of the algebraic assumpt...