Non-Archimedean analogues of orthogonal and symmetric operators

DOI10.1070/im1999v063n06ABEH000266zbMath0974.47054MaRDI QIDQ4509496

José Manuel Bayod, C. Perez-Garsia, Roberto Cianci, Andrei Yu. Khrennikov, Sergio A. Albeverio

Publication date: 2 April 2001

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

observableinner productorthogonal operatorsposition operator\(p\)-adic quantizationnon-Archimedean Hilbert spaceCauchy-Bunyakovskij-Schwarz inequality\(p\)-adic position operatorSpringer space

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) General mathematical topics and methods in quantum theory (81Q99) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Special classes of linear operators (47B99)

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