Hilbert space effect algebras

dc.contributor.advisor	Molnár, Lajos
dc.contributor.author	Kovács, Endre
dc.contributor.department	DE--TEK--Természettudományi Kar	en
dc.date.accessioned	2007-01-31T12:51:57Z
dc.date.available	2007-01-31T12:51:57Z
dc.date.created	2004
dc.date.issued	2007-01-31T12:51:57Z
dc.description.abstract	We introduce some natural numerical quantities which measure different kinds of correspondences between Hilbert space effect. We show that every bijective map of the space of all effects on the Hilbert space H which preserves any of these quantities is implemented by a unitary or antiunitary operator on H. In the las part we show that if an order preserving bijektive transformation of the Hilbert space effect algera also preserves the probability with respect to a fixed states, then it is an ortho-order automorphism. A similar result for the orthomodular lattice of all sharp effects (i.e..projektions) is also presented.	en
dc.description.degree	Ba	en
dc.format.extent	26	en
dc.format.extent	642907 bytes
dc.format.mimetype	application/pdf
dc.identifier.uri	http://hdl.handle.net/2437/863
dc.language.iso	hu	en
dc.rights.access	ip	en
dc.subject	Hilbert space	en
dc.subject	effect algebras	en
dc.subject	automorphisms	en
dc.subject	preserves	en
dc.subject.dspace	DEENK Témalista::Matematika::Algebra	en
dc.title	Hilbert space effect algebras	en

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