This is an announcement for the paper "Banach Spaces with respect to operator-valued norms" by Yun-Su Kim.

Abstract: We introduce the notions of L(H)-valued norms and Banach spaces with respect to L(H)-valued norms. In particular, we introduce Hilbert spaces with respect to L(H)-valued inner products. In addition, we provide several fundamental examples of Hilbert spaces with respect to L(H)-valued inner products.

Archive classification: math.FA math.OA

Mathematics Subject Classification: 46B45 ; 46C07

Remarks: 13 page

The source file(s), 2o-Banach.tex: 41954 bytes, is(are) stored in gzipped form as 0803.0041.gz with size 10kb. The corresponding postcript file has gzipped size 83kb.

Submitted from: kimys@indiana.edu

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