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(a)indiana.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0803.0041
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http://arXiv.org/abs/0803.0041
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