The Bounded Operator which Corresponds to a Differential Operator in L^2(R^N)

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概要

• 論文の詳細を見る

• It is shown that the Sobolev norm and de Branges norm are equivalent for a closed differential operator with a domain, Sobolev space. The contractions corresponding to momentum and energy operator will be found. Moreover a simple proof of the spectral decomposition theorem for unbounded self-adjoint operator is given by using a Kaufman's theorem. As a result, it is found that the relation between spectrum of a self-adjoint operator and that of a corresponding pure contraction.

• 東海大学の論文
• 2004-03-30

著者

• Hirasawa Go

  Department Of Mathematics Nippon Institute Of Technology

• Hirasawa Go

  Department Of Mathematics Faculty Of Science Niigata University

• NAKAZAWA Hideo

  Department of Mathematics, Tokyo Metropolitan University

• Nakazawa Hideo

  Department Of Biology School Of Education Waseda University

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