SMOOTH BILINEAR FORMS OF \scrL(2\BbbR2h(w1, w2)) AND \scrL(2\BbbR2 h\prime(w1, w2))

Sung Guen Kim; Chang Yeol Lee

doi:10.31392/MFAT-npu26_1-2.2023.04

SMOOTH BILINEAR FORMS OF \scrL(²\BbbR²_h(_w₁, w₂₎) AND \scrL(²\BbbR² _h\prime_(w1, w₂₎)

Sung Guen Kim, Chang Yeol Lee

Kyungpook National University

Research output: Contribution to journal › Article › peer-review

Abstract

We characterize smooth points of unit balls in some spaces of bilinear forms on \BbbR². We find that for some special cases of hexagonal norms, the set of smooth points of the unit ball of symmetric bilinear forms coincides with the set of those smooth points of the unit ball of bilinear forms that are symmetric.

Original language	English
Pages (from-to)	39-56
Number of pages	18
Journal	Methods of Functional Analysis and Topology
Volume	29
Issue number	1-2
DOIs	https://doi.org/10.31392/MFAT-npu26_1-2.2023.04
State	Published - 2023

Keywords

Bilinear forms
certain hexagonal norms on \BbbR
smooth points

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10.31392/MFAT-npu26_1-2.2023.04

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SMOOTH BILINEAR FORMS OF \scrL(²\BbbR²_h(_w₁, w₂₎) AND \scrL(²\BbbR² _h\prime_(w1, w₂₎)

Abstract

Keywords

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