شماره ركورد كنفرانس :
5410
عنوان مقاله :
HIGHER ORDER EXPONENTIALLY ISOMETRIC OPERATORS
عنوان به زبان ديگر :
HIGHER ORDER EXPONENTIALLY ISOMETRIC OPERATORS
پديدآورندگان :
HEDAYATIAN KARIM Department of Mathematics, College of Sciences, Shiraz University, Shiraz , SALEHI MARYAM Department of Mathematics, College of Sciences, Shiraz University, Shiraz
كليدواژه :
Exponentially m , isometric operator , Skew , m , selfadjoint oper , ator , Exponentially isometric , m , Jordan operator.
عنوان كنفرانس :
هفتمين سمينار آناليز تابعي و كابردهاي آن
چكيده فارسي :
For a positive integer m, a bounded linear operator T on a Hilbert space is called an exponentially m-isometric operator if mP k=0 (????1)m????k????m k ekT ekT = 0. We show that for every non-empty com- pact subset K of pure imaginary axis, there exits an exponentially m- isometric operator T whose spectrum is K. Moreover, if (Tn)n 1 is a sequence of operators in this class that converges to T in the strong operator topology, then T is also an exponentially m-isometric operator.
