Name: Optimal Domain and Integral Extension of Operators Acting in Frechet Function Spaces (en Inglés)
SKU: 62068594
Price: 75.82 USD
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Author: Bettina Blaimer

portada Optimal Domain and Integral Extension of Operators Acting in Frechet Function Spaces (en Inglés)

Optimal Domain and Integral Extension of Operators Acting in Frechet Function Spaces (en Inglés)

Formato

Libro Físico

Editorial

Logos Verlag Berlin

Autor

Bettina Blaimer

Idioma

Inglés

N° páginas

137

Encuadernación

Tapa Blanda

ISBN13

9783832545574

Optimal Domain and Integral Extension of Operators Acting in Frechet Function Spaces (en Inglés)

Bettina Blaimer (Autor) · Logos Verlag Berlin · Tapa Blanda

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Reseña del libro "Optimal Domain and Integral Extension of Operators Acting in Frechet Function Spaces (en Inglés)"

It is known that a continuous linear operator T defined on a Banach function space X(mu) (over a finite measure space (Omega, igma, mu) and with values in a Banach space X can be extended to a sort of optimal domain. Indeed, under certain assumptions on the space X(mu) and the operator T this optimal domain coincides with L1(mT), the space of all functions integrable with respect to the vector measure mT associated with T, and the optimal extension of T turns out to be the integration operator ImT. In this book the idea is taken up and the corresponding theory is translated to a larger class of function spaces, namely to Frechet function spaces X(mu) (this time over a sigma-finite measure space (Omega, igma, mu). It is shown that under similar assumptions on X(mu) and T as in the case of Banach function spaces the so-called "optimal extension process" also works for this altered situation. In a further step the newly gained results are applied to four well-known operators defined on the Frechet function spaces Lp-([0,1]) resp. Lp-(G) (where G is a compact Abelian group) and Lploc-