Published March 13, 2016
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UNIVERSALITY AND TRANSITIVITY OF SEMIGROUPS OF OPERATORS
- 1. Chouaib Doukkali University
- 2. Sidi Mohamed Ben Abdellah University
Description
Let B(X) denote the algebra of all bounded linear operators on a infinitedimensional separable complex Banach space X and M a nonzero subspace of X.In this paper we study the notion of disjoint or diagonally subspace universal respect to M ( in short d -M universal) and the notion of d-M topologically transitive for the sequence (T1,t) t≥0 , (T2,t) t≥0 , ..., (TN,t) t≥0 , (N ≥ 2) of a C0-semigroups of operators on X.Also, we give a necessary and sufficient condition for which this sequence is be d-M topologically transitive.
Translated Descriptions
⚠️
This is an automatic machine translation with an accuracy of 90-95%
Translated Description (Arabic)
دع B(X) تشير إلى الجبر لجميع المشغلين الخطيين المحدودين على مجمع بنك قابل للفصل بشكل لانهائي X و M فضاء فرعي غير صفري لـ X. في هذه الورقة، ندرس فكرة الاحترام العالمي للفضاء الجزئي المنفصل أو المائل لـ M (باختصار d - M عالمي) ومفهوم d - M عابر طوبولوجيًا للتسلسل (T1،t) t≥0 ، (T2،t) t≥0 ، ...، (TN،t) t≥0 ، (N ≥ 2) من مجموعات C0 من المشغلين على X. لذلك، نقدم شرطًا ضروريًا وكافًا يكون فيه هذا التسلسل عابرًا طوبولوجيًا.Translated Description (English)
Let B(X) denote the algebra of all bounded linear operators on an infinited-dimensionally separable complex Banach space X and M a nonzero subspace of X. In this paper we study the notion of disjoint or diagonally subspace universal respect to M ( in short d -M universal) and the notion of d-M topologically transitive for the sequence (T1,t) t≥0 , (T2,t) t≥0 , ..., (TN,t) t≥0 , (N ≥ 2) of a C0-semigroups of operators on X. So, we give a necessary and sufficient condition for which this sequence is d-M topologically transitive.Translated Description (French)
Let B(X) denote the algebra of all bounded linear operators on a infinitedimensional separable complex Banach space X and M a nonzero subspace of X.In this paper we study the notion of disjoint or diagonally subspace universal respect to M ( in short d -M universal) and the notion of d-M topologically transitive for the sequence (T1,t) t≥0 , (T2,t) t≥0 , ..., (TN,t) t≥0 , (N ≥ 2) of a C0-semigroups of operators on X.Also, we give a necessary and sufficient condition for which this sequence is be d-M topologically transitive.Translated Description (Spanish)
Let B(X) denote the algebra of all bounded linear operators on a infinitedimensional separable complex Banach space X and M a nonzero subspace of X.In this paper we study the notion of disjoint or diagonally subspace universal respect to M ( in short d -M universal) and the notion of d-M topologically transitive for the sequence (T1,t) t≥0 , (T2,t) t≥0 , ..., (TN,t) t≥0 , (N ≥ 2) of a C0-semigroups of operators on X.Also, we give a necessary and sufficient condition for which this sequence is be d-M topologically transitive.Files
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Additional details
Additional titles
- Translated title (Arabic)
- توحيد وتجاوز أنصاف المشغلين
- Translated title (English)
- UNIVERSALITY AND TRANSITIVITY OF SEMIGROUPS OF OPERATORS
- Translated title (French)
- UNIVERSALITY AND TRANSITIVITY OF SEMIGROUPS OF OPERATORS
- Translated title (Spanish)
- UNIVERSALITY AND TRANSITIVITY OF SEMIGROUPS OF OPERATORS
Identifiers
- Other
- https://openalex.org/W2300158714
- DOI
- 10.12732/ijpam.v106i4.10
References
- https://openalex.org/W1527296550
- https://openalex.org/W1606157354
- https://openalex.org/W2046863307
- https://openalex.org/W2080021674
- https://openalex.org/W2127930654