Extreme contractions on finite-dimensional polygonal Banach spaces

zbMath1428.46011arXiv1808.01881MaRDI QIDQ5237030

Anubhab Ray, Kallol Paul, Debmalya Sain

Publication date: 16 October 2019

Full work available at URL: https://arxiv.org/abs/1808.01881

zbMATH Keywords

Hilbert spacesstrict convexitypolyhedral Banach spacesextreme contractionspolygonal Banach spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Linear spaces of operators (47L05)

Related Items (7)

Characterization of k-smoothness of operators defined between infinite-dimensional spaces ⋮ On subspaces of \(\ell_\infty\) and extreme contractions in \(\mathbb{L}(\mathbb{X}, \ell_{\infty}^n)\) ⋮ Extreme contractions on finite-dimensional Banach spaces ⋮ Symmetry of Birkhoff-James Orthogonality of Bounded Linear Operators ⋮ On uniform Bishop-Phelps-Bollobás type approximations of linear operators and preservation of geometric properties ⋮ On extreme contractions between real Banach spaces ⋮ Characterization of extreme contractions through k-smoothness of operators

Cites Work

• On extreme operators on finite-dimensional Banach spaces whose unit balls are polytopes
• Extreme contractions on real Hilbert spaces
• Extreme contraction operators on \(\ell_\infty\)
• Intersection properties of balls in spaces of compact operators
• Some characterizations of finite-dimensional Hilbert spaces
• On extreme contractions and the norm attainment set of a bounded linear operator
• On extreme operators in finite-dimensional spaces
• Characterization and properties of extreme operators into C(Y)
• Isometries of operator algebras
• Extreme operators on 2-dimensional $l_p$-spaces
• Extreme contractions on certain function spaces
• Extremal structure in operator spaces

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