On the minimizers of the fusion frame potential

Autor:	Heineken, Sigrid B., Llarena, Juan P., Morillas, Patricia M.
Rok vydání:	2016
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Functional Analysis Primary 42C15 Secondary 42C99 42C40 15A60
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1605.02200 Zobrazit plný text záznamu View this record from Arxiv