Projection constants of a class of codimension-2 subspaces in \(l_\infty^{2 n}\)

DOI10.1134/S0016266319030031zbMath1439.46012OpenAlexW2981065780MaRDI QIDQ2291260

O. M. Martynov

Publication date: 30 January 2020

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266319030031

zbMATH Keywords

projection operatorrelative projection constantconstant of strong unicity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (4)

Some projections and their properties in the space $l^{mn}_{\infty }$ ($m\geq 2$, $n\geq 3$) ⋮ Projection constants of the \(l_{\infty}^{2m}\) space ⋮ Constants of strong uniqueness of minimal projections onto some $n$-dimensional subspaces of \(l_\infty^{2n}$ ($n \geq 2$) ⋮ On the relative projection constants of certain classes of subspaces of \(l_\infty^{2n}\)

Cites Work

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• Equality of two strongly unique minimal projection constants
• A lower bound of the strongly unique minimal projection constant of \(\ell ^n_\infty\), \(n\geqslant 3\)
• Minimal projections on hyperplanes in sequence spaces
• Constants of strong unicity of minimal projections onto some two-dimensional subspaces of \(l_{\infty}^{(4)}\)
• Constants of strong uniqueness of minimal projections onto hyperplanes in the space \(\ell_\infty^n (n\geq 3)\)
• Convex regions and projections in Minkowski spaces
• Finite dimensional projection constants
• On a class of minimal projections in finita dimensional spaces

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