zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Lie triple derivations on nest algebras. (English) Zbl 1124.47054
Summary: Let $\delta$ be a Lie triple derivation from a nest algebra ${\cal A}$ into an ${\cal A}$-bimodule ${\cal M}$. We show that if ${\cal M}$ is a weak* closed operator algebra containing ${\cal A}$, then there are an element $S\in{\cal M}$ and a linear functional $f$ on ${\cal A}$ such that $\delta(A) = SA - AS + f (A)I$ for all $A\in{\cal A}$, and if ${\cal M}$ is the ideal of all compact operators, then there is a compact operator $K$ such that $\delta(A) = KA - AK$ for all $A\in{\cal A}$. As applications, Lie derivations and Jordan derivations on nest algebras are characterized.

MSC:
47L35Nest algebras, CSL algebras
17B60Lie (super)algebras associated with other structures
WorldCat.org
Full Text: DOI