higher derivations associated with the cauchy-jensen type mapping

Authors

حمیدرضا رییسی

دانشجوی دکتری دانشگاه سمنان

abstract

let h be an infinite--dimensional hilbert space and k(h) be the set of all compact operators on h. we will adopt spectral theorem for compact self-adjoint operators, to investigate of higher derivation and higher jordan derivation on k(h) associated with the following cauchy-jencen type functional equation 2f(frac{t+s}{2}+r)=f(t)+f(s)+2f(r) for all t,s,rin k(h).

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Journal title:
نظریه تقریب و کاربرد های آن

جلد ۱۱، شماره ۱، صفحات ۵۷-۶۸

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