Hajime Tanaka

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20062026

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186 citations · 467 across the 31 of their papers we have counts for

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3 papers · 1 filter

math.RA2012★ 1 cited

The Erdős-Ko-Rado basis for a Leonard system

Hajime Tanaka

We introduce and discuss an Erdős-Ko-Rado basis for the underlying vector space of a Leonard system $Φ = (A; A^{*}; {E_{i}}_{i = 0}^{d}; {E_{i}^{*}}_{i = 0}^{d})$ that satisfies a mild condit…

math.RA2008★ 14 cited

A bilinear form relating two Leonard systems

Hajime Tanaka

Let $Φ$ , $Φ^{'}$ be Leonard systems over a field $K$ , and $V$ , $V^{'}$ the vector spaces underlying $Φ$ , $Φ^{'}$ , respectively. In this paper, we introduce and discuss a balanced b…

math.RA2008★ 4 cited

A note on the span of Hadamard products of vectors

Hajime Tanaka

We give a new proof of Theorem 6 in [L. Qiu and X. Zhan, On the span of Hadamard products of vectors, Linear Algebra Appl. 422 (2007) 304--307].