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Showing 1 to 3 of 3 for “"inductive limits"”.
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Countable inductive limits
Inductive systems and inductive limits have by now become fairly well established in the general theory of topological vector spaces. It is a branch of Functional Analysis which is receiving a reasonable amount of attention by modern mathematicians. It is of course a very interesting subject of its …
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The Segal-Bargmann transform on inductive limits of compact symmetric spaces
We construct the Segal-Bargmann transform on the direct limit of the Hilbert spaces $\{L^2(M_n)^{K_n}\}_n$ where $\{M_n = U_n/K_n\}_n$ is a propagating sequence of symmetric spaces of compact type with the assumption that $U_n$ is simply connected for each $n$. This map is obtained by taking the …
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Rank constrained homotopies of matrices and the Blackadar-Handelman conjectures on C*-algebras
… <p>Possibility of extending these results to inductive limits remain an open question.</p> <p>In general the second conjecture is true for any unital <em>A</em> for which (ordered) Grothendieck group <em>K</em>0(<em> A</em>) of <em>W</em>(<em>A</em>) has Riesz interpolation property [15] and …