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Leo Livshits - Locally linearly dependent spaces of matrices
LEO LIVSHITS, Colby College, Waterville, Maine 04901, USA | |
Locally linearly dependent spaces of matrices |
(Joint work with D. Hadwin and B. Mathes)
A subspace of is said to be locally linearly dependent (``LLD'') if is linearly dependent for every . Locally linearly independent (i.e. not dependent) spaces are exactly those possessing a separating vector. If such a space is proper and does not have a one-dimensional extention, then it is reflexive. (Converse is false.)
We will present several results about spaces. For example: no subspace of , can contain both an invertible and a cyclic operator.
eo@camel.math.ca