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Description
| - 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)
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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)
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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)
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skos:notation
| - RIV/00216224:14310/11:00059436!RIV13-MSM-14310___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(EE2.3.20.0051), S, Z(MSM0021622409)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/00216224:14310/11:00059436
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - (generalized) effect algebra; weakly ordered partial group; Hilbert sapce; unbounded linear operator; self-adjoint linear operator (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Tatra Mountains Mathematical Publications
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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