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On the minimizers of the fusion frame potential
Author(s) -
Heineken Sigrid B.,
Llarena Juan P.,
Morillas Patricia M.
Publication year - 2018
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500493
Subject(s) - linear subspace , mathematics , frame (networking) , fusion , operator (biology) , pure mathematics , computer science , telecommunications , linguistics , philosophy , biochemistry , chemistry , repressor , transcription factor , gene
We study the minimizers of the fusion frame potential in the case that both the weights and the dimensions of the subspaces are fixed and not necessarily equal. Using a concept of irregularity we provide a description of the local (that are also global) minimizers which projections are eigenoperators of the fusion frame operator. This result will be related to the existence of tight fusion frames. In this way we generalize results known for the classical vector frame potential.