On functional equations related to bicircular projections

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G-invariant norms and bicircular projections

It is shown that for many finite dimensional normed vector spaces V over C, a linear projection P : V → V will have nice structure if P + λ(I − P ) is an isometry for some complex unit not equal to one. From these results, one can readily determine the structure of bicircular projections, i.e., those linear projections P such that P + μ(I − P ) is a an isometry for every complex unit μ. The key...

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ژورنال

عنوان ژورنال: Glasnik Matematicki

سال: 2006

ISSN: 0017-095X

DOI: 10.3336/gm.41.1.04