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  • We continue in a direction of describing an algebraic structure of linear operators on infinite-dimensional complex Hilbert space H. In [Paseka, J.– –Janda, J.: More on PT-symmetry in (generalized) effect algebras and partial groups, Acta Polytech. 51 (2011), 65–72] there is introduced the notion of a weakly ordered partial commutative group and showed that linear operators on H with restricted addition possess this structure. In our work, we are investigating the set of self-adjoint linear operators on H showing that with more restricted addition it also has the structure of a weakly ordered partial commutative group.
  • We continue in a direction of describing an algebraic structure of linear operators on infinite-dimensional complex Hilbert space H. In [Paseka, J.– –Janda, J.: More on PT-symmetry in (generalized) effect algebras and partial groups, Acta Polytech. 51 (2011), 65–72] there is introduced the notion of a weakly ordered partial commutative group and showed that linear operators on H with restricted addition possess this structure. In our work, we are investigating the set of self-adjoint linear operators on H showing that with more restricted addition it also has the structure of a weakly ordered partial commutative group. (en)
Title
  • Weakly ordered partial commutative group of self-adjoint linear operators densely defined on Hilbert space
  • Weakly ordered partial commutative group of self-adjoint linear operators densely defined on Hilbert space (en)
skos:prefLabel
  • Weakly ordered partial commutative group of self-adjoint linear operators densely defined on Hilbert space
  • Weakly ordered partial commutative group of self-adjoint linear operators densely defined on Hilbert space (en)
skos:notation
  • RIV/00216224:14310/11:00059436!RIV13-MSM-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(EE2.3.20.0051), S, Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika
  • 3.
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 241582
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  • RIV/00216224:14310/11:00059436
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  • (generalized) effect algebra; weakly ordered partial group; Hilbert sapce; unbounded linear operator; self-adjoint linear operator (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • SK - Slovenská republika
http://linked.open...ontrolniKodProRIV
  • [E44AC5181D84]
http://linked.open...i/riv/nazevZdroje
  • Tatra Mountains Mathematical Publications
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http://linked.open...vavai/riv/projekt
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http://linked.open...v/svazekPeriodika
  • Volume 50
http://linked.open...iv/tvurceVysledku
  • Janda, Jiří
http://linked.open...n/vavai/riv/zamer
issn
  • 1210-3195
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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