ON CONVEXITY OF MORREY SPACES AND ITS VARIANTS
Types of convexity of normed spaces were first introduced by J. A. Clarkson in 1936, namely strictly convex and uniformly convex. In 1955, A. R. Lovaglia defined a kind of convexity that is weaker than uniformly convex; locally uniformly convex. Each of these convexities provide information about...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/53703 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Types of convexity of normed spaces were first introduced by J. A. Clarkson in 1936,
namely strictly convex and uniformly convex. In 1955, A. R. Lovaglia defined a kind of
convexity that is weaker than uniformly convex; locally uniformly convex. Each of these
convexities provide information about the structure of the given normed spaces. In
2019, H. Gunawan and A. Mu'tazili calculated the geometrical constants for Morrey
spaces and small Morrey spaces, and then concluded that both spaces were not
uniformly convex. In this thesis we will examine the relationship between three types
of convexity and discuss about types of convexity of Morrey spaces, small Morrey
spaces, and discrete Morrey spaces without calculating the value of its geometrical
constants. |
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