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This document discusses the continuity of symplectically adjoint maps in the context of quantum fields on curved spacetime, particularly focusing on the algebraic structure of Hadamard vacuum representations. It establishes that boundedness of symplectically adjoint operators with respect to one scalar product implies boundedness with respect to a family of related scalar products, leading to new insights on local observable algebras in quantum field theory. The findings are applied to the Klein-Gordon fiel
- Author
- vietnam5 hayday
- Language
- EN