Compatible Peirce decompositions of Jordan triple systems - MSP
Compatible Peirce decompositions of Jordan triple systems - MSP
Compatible Peirce decompositions of Jordan triple systems - MSP
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70 KEVIN MCCRIMMON<br />
For certain purposes the covering family g 7 serves just as well as<br />
a unit element.<br />
If Ji are locally unital with covering families g 7 *, then their<br />
direct sum J = Jx EE3 EB Jn is locally unital with covering family<br />
^ = U?i (note that e,/eg 7 are compatible if they lie in the same<br />
g 7 *, and orthogonal—hence compatible—if they lie in different g^,<br />
g^ ). If g* covers J and /: J->J f is a homomorphism, then by<br />
(1.6) /(g 7<br />
) = {/(e
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