2003Studia MathematicaOpen access

Spaces with maximal projection constants

Hermann König, Nicole Tomczak-Jaegermann

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Abstract

We show that $n$-dimensional spaces with maximal projection constants exist not only as subspaces of $l_\infty $ but also as subspaces of $l_1$. They are characterized by a rigid set of vector conditions. Nevertheless, we show that, in general, there are

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We show that $n$-dimensional spaces with maximal projection constants exist not only as subspaces of $l_\infty $ but also as subspaces of $l_1$. They are characterized by a rigid set of vector conditions. Nevertheless, we show that, in general, there are

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Available abstract

We show that $n$-dimensional spaces with maximal projection constants exist not only as subspaces of $l_\infty $ but also as subspaces of $l_1$. They are characterized by a rigid set of vector conditions. Nevertheless, we show that, in general, there are

Key concepts: Linear subspace, Mathematics, Projection (relational algebra), Constant (computer programming), Pure mathematics, Set (abstract data type), Vector space, Combinatorics

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