Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A NOTE ON AXIOMATIC FEYNMAN OPERATIONAL CALCULUS

  • Park, Yeon-Hee (Department of Mathematics Education, Institute of Pure and Applied Mathematics, Chonbuk National University)
  • Received : 2012.05.07
  • Accepted : 2012.05.29
  • Published : 2012.06.25
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Abstract

In this note we prove the space (A, ${\parallel}.{\parallel}$) is a Banach space and ${\parallel}ab{\parallel}{\leq}{\parallel}a{\parallel}{\parallel}b{\parallel}$ for $a,b{\in}A$ where $A:=\{a:=(a_t)_{t{\in}G}:{\sum}_{t{\in}G}{\parallel}a_t{\parallel}_t<{\infty}\}$, $G=\mathbb{N}^*$. Also we show some property in (A, ${\parallel}.{\parallel}$).

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References

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