Closability of Module σ−Derivatoins
Let σ be a linear mapping from a dense subalgebra A of a Banach algebra B into B. In this note, we study the closability of a module σ− derivation δ from A into a B− bimodule M. Applying the notions of torsion-free modules and essential ideals, we present several results concerning the closabili...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Islamic Azad University
2012-03-01
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| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/97 |
| Summary: | Let σ be a linear mapping from a dense subalgebra A of
a Banach algebra B into B. In this note, we study the closability of a
module σ− derivation δ from A into a B− bimodule M. Applying the
notions of torsion-free modules and essential ideals, we present several
results concerning the closability of such derivations. Also we investigate
the closability of module σ− derivations of the C
∗− algebra B into a
Hilbert B− bimodule M |
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| ISSN: | 1735-8299 1735-8299 |