2-Local derivations of real AW*-algebras are derivation
نویسندگان
چکیده
Abstract 2-Local derivations on real matrix algebras over unital semi-prime Banach are considered. Using the analogue of result that any 2-local derivation algebra $$M_{2^n}(A)$$ M 2 n ( A ) ( $$n\ge 2$$ ≥ ) is a derivation, it shown AW $$^*$$ ∗ -algebra for which enveloping (complex) AW*-algebra, where A with inner property.
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نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
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ژورنال
عنوان ژورنال: Positivity
سال: 2021
ISSN: ['1572-9281', '1385-1292']
DOI: https://doi.org/10.1007/s11117-021-00815-8