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Von Neumann's inequality : ウィキペディア英語版 | Von Neumann's inequality In operator theory, von Neumann's inequality, due to John von Neumann, states that, for a fixed contraction ''T'', the polynomial functional calculus map is itself a contraction. ==Formal statement== For a contraction ''T'' acting on a Hilbert space and a polynomial ''p'', then the norm of ''p''(''T'') is bounded by the supremum of |''p''(''z'')| for ''z'' in the unit disk."〔(Department of Mathematics, Vanderbilt University Colloquium, AY 2007-2008 )〕
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Von Neumann's inequality」の詳細全文を読む
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