О факторизационных свойствах субдиагональных алгебр

2016

Closed access Metadata (CSL-JSON)
DOI 10.4213/faa3234
Data confidence 70 medium
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Abstract

Пусть $\mathcal{M}$ - алгебра фон Неймана, оснащенная нормальным конечным точным нормализованным следом $\tau$ и пусть $\mathcal{A}$ - следовая подалгебра $\mathcal{M}$. Пусть $E$ - симметрическое квазибанахово пространство на $[0,1]$. Мы показываем, что $\mathcal{A}$ обладает $L_E({\mathcal M})$-факторизацией тогда и только тогда, когда $\mathcal{A}$ - субдиагональная алгебра.