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Stability of disjointness preserving functionals
Dolinar, Gregor, 11.08.1971-
Naj bo ▫$A$▫ komutativna Banachova algebra in ▫$\varepsilon \ ge 0$▫. Linearni funkcional ▫$\Phi: A \to \mathbb C$▫ imenujemo DP funkcional, če je ▫$|\Phi(a) \Phi(b)| = 0$▫, oziroma ...▫$\varepsilon$▫-DP funkcional, če je ▫$|\Phi(a) \Phi(b)| \le \varepsilon \|a\| \|b\| $▫,za poljubna ▫$a,b \in A$▫, za katera je ▫$ab = 0$▫. Za Banachove algebre ▫${\cal C}(X)$▫, ▫$\ell^p$▫ in ▫$\ell^1(\mathbb Z^+)$▫ nas zanima, ali za vsak ▫$\varepsilon$▫-DP funkcional ▫$\Phi$▫ obstaja DP funkcional ▫$\Psi$▫, ki je blizu ▫$\Phi$▫.
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