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We investigate 2-local Jordan automorphisms on operator algebras. In particular, we show that every 2-local Jordan automorphism of the algebra of all n× n real or complex matrices is either an automorphism or an anti-automorphism. The same is true for 2-local Jordan automorphisms of any subalgebra of ℬ which contains the ideal of all compact operators on X, where X is a real or complex separable Banach spaces and ℬ is the algebra of all bounded linear operators on X.
Ajda Fošner. "2-local Jordan automorphisms on operator algebras." Studia Mathematica 209.3 (2012): 235-246. <http://eudml.org/doc/286100>.
@article{AjdaFošner2012, abstract = {We investigate 2-local Jordan automorphisms on operator algebras. In particular, we show that every 2-local Jordan automorphism of the algebra of all n× n real or complex matrices is either an automorphism or an anti-automorphism. The same is true for 2-local Jordan automorphisms of any subalgebra of ℬ which contains the ideal of all compact operators on X, where X is a real or complex separable Banach spaces and ℬ is the algebra of all bounded linear operators on X.}, author = {Ajda Fošner}, journal = {Studia Mathematica}, keywords = {Jordan automorphism; 2-local Jordan automorphism; automorphism; anti-automorphism}, language = {eng}, number = {3}, pages = {235-246}, title = {2-local Jordan automorphisms on operator algebras}, url = {http://eudml.org/doc/286100}, volume = {209}, year = {2012}, }
TY - JOUR AU - Ajda Fošner TI - 2-local Jordan automorphisms on operator algebras JO - Studia Mathematica PY - 2012 VL - 209 IS - 3 SP - 235 EP - 246 AB - We investigate 2-local Jordan automorphisms on operator algebras. In particular, we show that every 2-local Jordan automorphism of the algebra of all n× n real or complex matrices is either an automorphism or an anti-automorphism. The same is true for 2-local Jordan automorphisms of any subalgebra of ℬ which contains the ideal of all compact operators on X, where X is a real or complex separable Banach spaces and ℬ is the algebra of all bounded linear operators on X. LA - eng KW - Jordan automorphism; 2-local Jordan automorphism; automorphism; anti-automorphism UR - http://eudml.org/doc/286100 ER -