Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Geometry of oblique projections

100%

Andruchow E., Corach G., Stojanoff D.

Studia Mathematica

1999

tom 137

nr 1

61-79

Let A be a unital C*-algebra. Denote by P the space of selfadjoint projections of A. We study the relationship between P and the spaces of projections $P_a$ determined by the different involutions $#_a$ induced by positive invertible elements a ∈ A. The maps $φ:P → P_a$ sending p to the unique $q ∈ P_a$ with the same range as p and $Ω_a : P_a → P_a$ sending q to the unitary part of the polar decomposition of the symmetry 2q-1 are shown to be diffeomorphisms. We characterize the pairs of idempotents q,r ∈ A with ||q-r|| < 1 such that there exists a positive element a ∈ A satisfying $q,r ∈ P_a$. In this case q and r can be joined by a unique short geodesic along the space of idempotents Q of A.

Ograniczanie wyników

1 Studia Mathematica

1 Andruchow E.

1 Corach G.

1 Stojanoff D.

1 1999

Wyniki wyszukiwania

Geometry of oblique projections