On the relation between XX[*] X[*]X in an indefinite inner product space

Autor:	André C. M. Ran, Jan S. Kes
Přispěvatelé:	Mathematical Analysis, Mathematics
Jazyk:	angličtina
Rok vydání:	2007
Předmět:	Combinatorics Algebra and Number Theory Indefinite inner product space Mathematics Subject Classification Canonical form Rank (differential topology) Relation (history of concept) Nilpotent matrix Analysis Mathematics
Zdroj:	Operators and Matrices, 1(2), 181-197. Element d.o.o. Kes, J S & Ran, A C M 2007, ' On the relation between XX[*] X[*]X in an indefinite inner product space ', Operators and Matrices, vol. 1, no. 2, pp. 181-197 . https://doi.org/10.7153/oam-01-12
ISSN:	1846-3886
DOI:	10.7153/oam-01-12
Popis:	The relations between the canonical forms for pairs (XX[∗],H) and (X[∗]X,H) , with nilpotent matrices XX[∗] and X[∗]X , are studied. We show that for some specific cases which are obtained by imposing restrictions on rank X or rank X[∗]X or both, the relations between these canonical forms can be found. Mathematics subject classification (2000): 47B50, 15A21.
Databáze:	OpenAIRE
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