{"paper":{"title":"Extreme contractions in ${\\cal L}(\\ell^p_2, \\ell^q_2)$ and the mazur intersection property in $\\ell^p_2 \\otimes_{\\p} \\ell^q_2$","license":"","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"A. K. Roy, Pradipta Bandyopadhyay","submitted_at":"1994-12-12T00:00:00Z","abstract_excerpt":"In this paper, we show that the projective tensor product of a two-dimen\\-sional $\\ell^p$ space with a two-dimensional $\\ell^q$ space never has the Mazur Intersection Property for a large range of values of $p$ and $q$. For this purpose, we characterise the extreme contractions from $\\ell^p_2$ to $\\ell^q_2$ and obtain their closure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9412213","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}