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Spectrum, resolvent, numerical range, functional calculus, operator semigroups. Special classes of operators: compact, Fredholm, dissipative, differential, integral, pseudodifferential, etc.

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Property of pushouts in the category of unital $C^{\ast}$-algebras

Unfortunately, the assertion is, in general, not true even if we just have a single (injective) unital $*$-homomorphism $f_1\colon A\to A_1$ and another (non-injective) unital $*$-homomorphism $g\colo …
Alcides Buss's user avatar