2-Local derivations and automorphisms on B(H)

By Sh. A. Ayupov, K. Kudaybergenov. 2011

67 citations recorded by the source corpus.

Abstract This paper is devoted to 2-local derivations and 2-local automorphisms on the algebra B ( H ) of all bounded linear operators on a Hilbert space H . We prove that every 2-local derivation on B ( H ) is a derivation. A similar result is obtained for automorphisms.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2c6aca6150b5c12febfcaa3fb9c598284ab73462

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In Algebra and Number Theory

1. Sh. A. Ayupov
2. K. Kudaybergenov
3. Bakhrom Omirov

In Computational Theory and Mathematics

1. Sh. A. Ayupov
2. K. Kudaybergenov

In Mathematical Physics

1. Sh. A. Ayupov
2. K. Kudaybergenov

Citations in the corpus

• 2-Local derivations on von Neumann algebras (2014, methodology): “In [1] we suggested a new technique and have generalized the a bov mentioned results of [7] and [10] for arbitrary Hilbert spaces.”