Henstock-Kurzweil Integration: Its Relation to Topological Vector Spaces (Series in Real Analysis) okumak kayıt olmadan

Henstock-Kurzweil Integration: Its Relation to Topological Vector Spaces (Series in Real Analysis)

Ders Kitapları

Henstock-Kurzweil (HK) integration, which is based on integral sums, can be obtained by an inconspicuous change in the definition of Riemann integration. It is an extension of Lebesgue integration and there exists an HK-integrable function f such that its absolute value |f| is not HK-integrable. In this book HK integration is treated only on compact one-dimensional intervals.The set of convergent sequences of HK-integrable functions is singled out by an elementary convergence theorem. The concept of convergent sequences is transferred to the set P of primitives of HK-integrable functions; these convergent sequences of functions from P are called E-convergent. The main results: there exists a topology U on P such that (1) (P,U) is a topological vector space, (2) (P,U) is complete, and (3) every E-convergent sequence is convergent in (P,U). On the other hand, there is no topology U fulfilling (2), (3) and (P,U) being a locally convex space.

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ROBERT H BORK 18,9 x 0,4 x 24,6 cm 1 Ocak 2017 Additional Contributors 28 Şubat 2018 18,9 x 0,2 x 24,6 cm 30 Ekim 2011 29 Ekim 2011 Kolektif ERWIN N GRISWOLD Mdpi AG 15 x 0,5 x 22 cm 28 Ekim 2011 18,9 x 0,3 x 24,6 cm 18,9 x 0,6 x 24,6 cm WADE H MCCREE 3 Ocak 2017 18,9 x 0,5 x 24,6 cm

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