Functional homomorphisms and dynamical systems

Liquid Crystalline Properties of Unsymmetrical N-(o-hydroxybenzylidene)-N′-(4-n-alkoxybenzoyloxybenzylidene)azines: Synthesis and Characterization

“…It is known that the presence of ester bridging group increases flexibility and mobility of particular parts of liquid crystal molecule and hence affects the type of mesophase and its temperature range [26]. The study based on unsymmetrical azines with ether bridging moiety has revealed to the emergence of nematic and smectic A mesophases [27]. The substitution of ether linkage with the ester moiety along with the incorporation of aromatic ring with long alkoxy chain results in suppression of smectic A mesophase and leads to the occurrence of nematic phase in some homologs of the series.…”

Spectral mapping theorems and stability theory in linear dynamical systems

“…If T is continuous with respect to strong operator topology on B(X), then it is called c 0 −functional homomorphism [20]. It is well known that every norm continuous functional homomorphism is of type T (t) = e tA for some operator A ∈ B(X).…”