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Isometries of certain operator algebras

Isometries of certain operator algebras

To a given basis <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="phi 1 comma ellipsis comma phi Subscript n Baseline"> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>ϕ</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mo>,</mml:mo> <mml:mo>…</mml:mo> <mml:mo>,</mml:mo> <mml:msub> <mml:mi>ϕ</mml:mi> <mml:mi>n</mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">\phi _1,\dotsc ,\phi _n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> on an <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="n"> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding="application/x-tex">n</mml:annotation> …