Gelfand Space
Mostrando 1-3 de 3 artigos, teses e dissertações.
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1. O teorema do índice para o círculo / The index theorem for the circle
We study the comparison algebra on the circle, we describe the Gelfand space of its quotient by the compacts and we give a formula to compute the index of its Fredholm operators. After that, we generalize the result to the matrices with entries in the comparison algebra and give an application to differential opperators in the circle.
Publicado em: 2008
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2. RENDALLNULLS THEOREMS AND THE UNIQUE DETERMINATION OF THE INNER PRODUCT IN REPRESENTATION OF ALGEBRAS / TEOREMAS DE RENDALL E A UNICIDADE DO PRODUTO INTERNO EM REPRESENTAÇÕES DE ÁLGEBRAS
This thesis is concerned with a paper from Alan D. Rendall named Unique determination of an inner product by adjointness relations in the algebra of quantum observables, in which is proved that given a *- representation of a *-algebra in a pre-Hilbert space V irreducible with regard to the inner product defined in V we can assure the uniqueness of the inner
Publicado em: 2004
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3. Hyperplane arrangements, interval orders, and trees.
A hyperplane arrangement is a finite set of hyperplanes in a real affine space. An especially important arrangement is the braid arrangement, which is the set of all hyperplanes xi - xj = 1, 1