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What (who) is cyclic vector - definition
Cyclic vector
An operator A on an (infinite dimensional) Banach space or Hilbert space H has a cyclic vector f if the vectors f, Af, A2f,... span H.
Cyclic peptide
![α-Amanitin]]](https://commons.wikimedia.org/wiki/Special:FilePath/Alpha-amanitin structure.png?width=200 "α-Amanitin]]")
![[[Bacitracin]]](https://commons.wikimedia.org/wiki/Special:FilePath/Bacitracin.svg?width=200 "[[Bacitracin]]")
![[[Ciclosporin]]](https://commons.wikimedia.org/wiki/Special:FilePath/Ciclosporin.svg?width=200 "[[Ciclosporin]]")
PEPTIDE CHAINS WHICH CONTAIN A CIRCULAR SEQUENCE OF BONDS
Cyclic peptides; Peptides, cyclic; Cyclic polypeptides; Cyclic protein; Cyclic polypeptide; Cyclopeptides; Cyclopeptide; Peptide macrocycle
Cyclic peptides are polypeptide chains which contain a circular sequence of bonds. This can be through a connection between the amino and carboxyl ends of the peptide, for example in cyclosporin; a connection between the amino end and a side chain, for example in bacitracin; the carboxyl end and a side chain, for example in colistin; or two side chains or more complicated arrangements, for example in amanitin.
Cyclic and separating vector
In mathematics, the notion of a cyclic and separating vector is important in the theory of von Neumann algebras, and in particular in Tomita–Takesaki theory. A related notion is that of a vector which is cyclic for a given operator.
