We associate an algebra Γ∞(A) to each bornological algebra A . Each symmetric ideal SS of the algebra ℓ∞ of complex bounded sequences gives rise to an ideal IS(A) of Γ∞(A) . We show that all ideals arise in this ...

In [1] we associated an algebra 1.A/ to every bornological algebra A and an ideal IS.A/ C 1.A/ to every symmetric ideal S C `1. We showed that IS.A/ has K-theoretical properties which are similar to those of the usual ...

Let H = H+ ⊕ H− be a fixed orthogonal decomposition of a Hilbert space, with both subspaces of infinite dimension, and let E+, E− be the projections onto H+ and H−. We study the set Pcc of orthogonal projections P in H ...