DUAL K?THE-TOEPLITZ RUANG BARISAN DIPERUMUM DAN RUANG FUNGSI; K?THE-TOEPLITZ DUAL OF GENERALIZED SEQUENCE SPACES AND FUNCTION SPACES

Sumardyono, Soeparna Darmawijaya

2015 | Tesis | FMIPA

In mathematical analysis, a continuous or topological dual of a sequence space has been known. But The K?the-Toeplitz dual is developed as well. By the K?the-Toeplitz dual, the properties of a sequence space and its dual can be easily studied because of the connection between elements in the space and those in its dual. The K?the-Toeplitz dual of a real numbers sequence space has been generalized, especially for double sequence spaces, normed abstract sequence spaces, etc. In this dissertation, we generalize the K?the-Toeplitz dual into those in sequence valued sequence spaces and measurable function spaces. First, we define a K?the-Toeplitz dual by using a generalized concept of convergence. Further, we observed some properties of K?the-Toeplitz dual for some generalized classical sequence spaces. The connection between K?the- Toeplitz duals using generalized convergence and those using

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