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All-derivable points in the algebra of all upper triangular matrices

โœ Scribed by Jun Zhu; Changping Xiong; Renyuan Zhang


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
157 KB
Volume
429
Category
Article
ISSN
0024-3795

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All-derivable points in matrix algebras
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All-derivable points in nest algebras
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Suppose that A is an operator algebra on a Hilbert space H. An element V in A is called an all-derivable point of A for the strong operator topology if every strong operator topology continuous derivable mapping ฯ• at V is a derivation. Let N be a complete nest on a complex and separable Hilbert spac

All-derivable points of operator algebra
โœ Jun Zhu ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 112 KB

Let A be an operator subalgebra in B(H ), where H is a Hilbert space. We say that an element Z โˆˆ A is an all-derivable point of A for the norm-topology (strongly operator topology, etc.) if, every norm-topology (strongly operator topology, etc.) continuous derivable linear mapping ฯ• at Z (i.e. ฯ•(ST