Normal Hilbert modules over the ball algebra A(B)
Guo, Kunyu
Studia Mathematica, Tome 133 (1999), p. 1-12 / Harvested from The Polish Digital Mathematics Library
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The normal cohomology functor Extℵ is introduced from the category of all normal Hilbert modules over the ball algebra to the category of A(B)-modules. From the calculation of Extℵ-groups, we show that every normal C(∂B)-extension of a normal Hilbert module (viewed as a Hilbert module over A(B) is normal projective and normal injective. It follows that there is a natural isomorphism between Hom of normal Shilov modules and that of their quotient modules, which is a new lifting theorem of normal Shilov modules. Finally, these results are applied to the discussion of rigidity and extensions of Hardy submodules over the ball algebra.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216640 
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Guo, Kunyu. Normal Hilbert modules over the ball algebra A(B). Studia Mathematica, Tome 133 (1999) pp. 1-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv135i1p1bwm/

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