{"id":68,"date":"2019-03-01T06:40:43","date_gmt":"2019-03-01T06:40:43","guid":{"rendered":"http:\/\/ddavalos.com\/?page_id=68"},"modified":"2023-10-24T01:47:46","modified_gmt":"2023-10-24T01:47:46","slug":"playing-with-math-symbols","status":"publish","type":"page","link":"https:\/\/ddavalos.com\/index.php\/playing-with-math-symbols\/","title":{"rendered":"Playing with math sym."},"content":{"rendered":"\n

Something interesting must come here soon. This webpage is possible thanks to the support of Armando.<\/p>\n\n\n\n


Let \"\Delta\" an operator over the Hilbert space \"\mathcal{H}\", we call it bounded<\/em> if there exists a \"t>0\" such that \"||\Delta |\psi \rangle||\leq t|||\psi \rangle|| \ \ \forall |\psi \rangle \in \mathcal{H}\", with \"|||\psi\rangle||=\sqrt{\langle \psi | \psi \rangle}\". The set of all bounded operators over \"\mathcal{H}\" is denoted by \"\mathcal{B}(\mathcal{H})\". In particular the minimum \"t\" for which the inequality above holds, is called the operator norm<\/em> of \"\Delta\". This norm induces the operator norm topology. <\/em>Such norm is typically too strong for many purposes, a very wide used one is the so called weak operator topology, <\/em>it will be discussed later.
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Something interesting must come here soon. This webpage is possible thanks to the support of Armando. Let an operator over the Hilbert space , we call it bounded if there exists a such that , with . The set of all bounded operators over is denoted by . In particular the minimum for which the […]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-68","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/ddavalos.com\/index.php\/wp-json\/wp\/v2\/pages\/68","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ddavalos.com\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ddavalos.com\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ddavalos.com\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/ddavalos.com\/index.php\/wp-json\/wp\/v2\/comments?post=68"}],"version-history":[{"count":22,"href":"https:\/\/ddavalos.com\/index.php\/wp-json\/wp\/v2\/pages\/68\/revisions"}],"predecessor-version":[{"id":283,"href":"https:\/\/ddavalos.com\/index.php\/wp-json\/wp\/v2\/pages\/68\/revisions\/283"}],"wp:attachment":[{"href":"https:\/\/ddavalos.com\/index.php\/wp-json\/wp\/v2\/media?parent=68"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}