ISSN 2234-8417 (Online) ISSN 1598-5857 (Print) Table of Contents

 2014's 32,3-4(May) Compact interpolation on $AX=Y$ in Alg$\mathcal{L} By Joo Ho Kang ..........1520 Generic Number - 1520 References - 0 Written Date - May 16th, 14 Modified Date - May 16th, 14 Downloaded Counts - 1118 Visited Counts - 1377 Original File  Summary In this paper the following is proved: Let$\mathcal{L}$be a subspace lattice on a Hilbert space$\mathcal{H}$and X and Y be operators acting on$\mathcal{H}$. Then there exists a compact operator A in Alg$\mathcal{L}$such that AX = Y if and only if$\sup \left\{ {\norm{E^\perp Y f} \over \norm{E^\perp X f}} : f \in \mathcal{H}, ~E \in \mathcal{L} \right\} = K < \infty$and$Y$is compact. Moreover, if the necessary condition holds, then we may choose an operator$A$such that$AX = Y$and$\norm{A} = K\$. 학회 : 정보전산응용수학회(KSICAM) (구: KSCAM & Korean SIGCAM)
http://www.springer.com/journal/12190
연구소 : SPCHIN 전산응용수학연구소 ( SPCHIN-CAM Institute : SPCHIN-CAMI)
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