Open AccessA Bauer-Hausdorff Matrix Inequality
Author(s) -
Zi-zong Yan,
Shanhe Wu
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/894824
Subject(s) - mathematics , hausdorff space , linear subspace , hausdorff distance , matrix (chemical analysis) , biorthogonal system , algorithm , combinatorics , pure mathematics , artificial intelligence , mathematical analysis , computer science , wavelet transform , wavelet , materials science , composite material
We present a biorthogonal process for two subspaces of ℂn. Applying this process, we derive a matrix inequality, which generalizes the Bauer-Hausdorff inequality for vectors and includes the Wang-IP inequality for matrices. Meanwhile, we obtain its equivalent matrix inequality
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