Stably Unital

A stably unital local Banach algebra is one for which has an approximate identity consisting of idempotents (Blackadar 1998, p. 31). Here is the algebraic direct limit of the matrix algebras under the embeddings , equivalently the infinite matrices with only finitely many nonzero entries (Blackadar 1998, p. 27).

See also

Algebra, Analytic Function, Approximate Identity, Banach Algebra, Completion, Involution, Local Banach Algebra, Normed Space, Positive Element, Subalgebra, Unital

Portions of this entry contributed by Christopher Stover

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References

Blackadar, B. K-Theory for Operator Algebras, 2nd ed. New York: Cambridge University Press, 1998.

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Cite this as:

Weisstein, Eric W., with contributions by Christopher Stover. "Stably Unital." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/StablyUnital.html

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