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  • 1
    ISSN: 1572-9036
    Schlagwort(e): non-Archimedean Hilbert space ; p-adic quantization ; precision of a measurement ; symmetric and orthogonal operators ; isometric orthogonal operators ; Cauchy–Buniakovski–Schwarz inequality ; majorant and self-polar norms ; p-adic Gaussian distribution ; p-adic analiticity
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract We study orthogonal and symmetric operators in non-Archimedean Hilbert spaces in the connection with p-adic quantization. This quantization describes measurements with finite precision. Symmetric (bounded) operators in the p-adic Hilbert spaces represent physical observables. We study spectral properties of one of the most important quantum operators, namely, the operator of the position (which is represented in the p-adic Hilbert L2-space with respect to the p-adic Gaussian measure). Orthogonal isometric isomorphisms of p-adic Hilbert spaces preserve precisions of measurements. We study properties of orthogonal operators. It is proved that each orthogonal operator in the non-Archimedean Hilbert space is continuous. However, there exist discontinuous operators with the dense domain of definition which preserve the inner product. There also exist nonisometric orthogonal operators. We describe some classes of orthogonal isometric operators and we study some general questions of the theory of non-Archimedean Hilbert spaces (in particular, general connections between topology, norm and inner product).
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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  • 2
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    Masaryk University Press | Masaryk University
    Publikationsdatum: 2024-03-23
    Beschreibung: Title in English: Error Analysis in the Interlanguage of Czech and Slovak University Students of Spanish as a Second Language The monograph studies the written interlanguage in Spanish of a group of Czech and Slovak university students, focusing on analysis of their errors. The main purpose of this study is to find a pattern in these errors and to understand their evolution from the beginning to the end of the three-year bachelor program of Spanish Language and Literature at Masaryk University in Brno (Czech Republic). For this objective we have analyzed a corpus of written texts compiled from 2014 to 2017 and we have classified all the lexical and morhosyntactical errors according to specific criteria, creating a “grammar of errors” on its own. The conclusions indicate that there are no significant differences between errors according to the linguistic groups. This is due to the fact that the majority of these errors show universal learning strategies that do not apply to just one linguistic group. However, the results also show a considerable influence of Czech and Slovak, especially in the lexical errors that occur due to interferences, faux amis and loans. Furthermore, Slovak students have a higher percentage of errors compared to Czech students at the end of their degree, mainly because the essays are longer. This is an outcome of Slovak students taking more risks when they write in Spanish, since they use more language and they choose more complex structures.
    Schlagwort(e): applied linguistics ; erros analysis ; Czech students ; grammatical errors ; lexical errors ; Slovak students ; Soanish as a foreign language ; thema EDItEUR::2 Language qualifiers::2A Indo-European languages::2AD Romance, Italic and Rhaeto-Romanic languages::2ADS Spanish ; thema EDItEUR::C Language and Linguistics::CB Language: reference and general ; thema EDItEUR::C Language and Linguistics::CF Linguistics
    Sprache: Spanisch
    Format: image/jpeg
    Standort Signatur Erwartet Verfügbarkeit
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