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 849 4 |
| Ultima descărcare din IBN: 2017-02-26 08:01 |
| Căutarea după subiecte similare conform CZU |
| 517.9+519.677 (1) |
| Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (243) |
| Вычислительная математика. Численный анализ (124) |
 SM ISO690:2012ALESCHENKO, S. A semi-isometric isomorphism on a ring of matrices. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2014, nr. 2(75), pp. 74-84. ISSN 1024-7696. |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 2(75) / 2014 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 517.9+519.677 | ||||||
| Pag. 74-84 | ||||||
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Let ( R, ξ ) be a pseudonormed ring and R n be a ring of matrices over the ring R . We prove that if 1 ≤ γ, σ ≤ ∞ and 1 γ 1 σ ≥ 1, then the function η ξ,γ,σ is a pseudonorm on the ring R n . Let now φ : ( R, ξ ) → ( ̄ R, ξ ) be a semi-isometric isomorphism of pseudonormed rings. We prove that Φ : ( R n , η ξ,γ,σ ) → ( ̄ R n , η ̄ ξ,γ,σ ) is a semi-isometric isomorphism too for all 1 ≤ γ, σ ≤∞ such that 1 γ 1 σ ≥ 1. |
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| Cuvinte-cheie Pseudonormed rings, quotient rings, ring of matrices, isometric homomorphism, semi-isometric isomorphism, canonical homomorphism |
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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Alescenco, S.</dc:creator> <dc:date>2014-08-01</dc:date> <dc:description xml:lang='en'>Let ( R, ξ ) be a pseudonormed ring and R n be a ring of matrices over the ring R . We prove that if 1 ≤ γ, σ ≤ ∞ and 1 γ 1 σ ≥ 1, then the function η ξ,γ,σ is a pseudonorm on the ring R n . Let now φ : ( R, ξ ) → ( ̄ R, ξ ) be a semi-isometric isomorphism of pseudonormed rings. We prove that Φ : ( R n , η ξ,γ,σ ) → ( ̄ R n , η ̄ ξ,γ,σ ) is a semi-isometric isomorphism too for all 1 ≤ γ, σ ≤∞ such that 1 γ 1 σ ≥ 1. </dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 75 (2) 74-84</dc:source> <dc:subject>Pseudonormed rings</dc:subject> <dc:subject>quotient rings</dc:subject> <dc:subject>ring of matrices</dc:subject> <dc:subject>isometric homomorphism</dc:subject> <dc:subject>semi-isometric isomorphism</dc:subject> <dc:subject>canonical homomorphism</dc:subject> <dc:title>A semi-isometric isomorphism on a ring of matrices</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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