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| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Kotowicz, Jarosław | - |
| dc.date.accessioned | 2026-11-09T11:41:03Z | - |
| dc.date.available | 2026-11-09T11:41:03Z | - |
| dc.date.issued | 2003 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 11, Issue 1, Pages 59-68 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/21473 | - |
| dc.description.abstract | The article presents well known facts about quotient vector spaces and functionals (see [8]). There are repeated theorems and constructions with either weaker assumptions or in more general situations (see [11], [7], [10]). The construction of coefficient functionals and non-degenerate functional in quotient vector space generated by functional in the given vector space are the only new things which are done. | pl |
| dc.description.sponsorship | This work has been partially supported by TRIAL-SOLUTION grant IST-2001-35447 and SPUB-M grant of KBN. | pl |
| dc.language.iso | en | pl |
| dc.publisher | University of Białystok | pl |
| dc.rights | CC BY-SA 4.0 | - |
| dc.rights.uri | https://creativecommons.org/licenses/by-sa/4.0/ | - |
| dc.title | Quotient Vector Spaces and Functionals | pl |
| dc.type | Article | pl |
| dc.rights.holder | © 2003 University of Białystok | pl |
| dc.rights.holder | This work is licensed under the Creative Commons License. | pl |
| dc.description.Affiliation | University of Białystok | pl |
| dc.description.references | Józef Białas. Group and field definitions. Formalized Mathematics, 1(3):433–439, 1990. | pl |
| dc.description.references | Czesław Byliński. Binary operations. Formalized Mathematics, 1(1):175–180, 1990. | pl |
| dc.description.references | Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55–65, 1990. | pl |
| dc.description.references | Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153–164, 1990. | pl |
| dc.description.references | Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47–53, 1990. | pl |
| dc.description.references | Jarosław Kotowicz. Monotone real sequences. Subsequences. Formalized Mathematics, 1(3):471–475, 1990. | pl |
| dc.description.references | Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335–342, 1990. | pl |
| dc.description.references | Serge Lang. Algebra. Addison-Wesley Publishing Co., 1980. | pl |
| dc.description.references | Anna Justyna Milewska. The Hahn Banach theorem in the vector space over the field of complex numbers. Formalized Mathematics, 9(2):363–371, 2001. | pl |
| dc.description.references | Michał Muzalewski. Domains of submodules, join and meet of finite sequences of submodules and quotient modules. Formalized Mathematics, 3(2):289–296, 1992. | pl |
| dc.description.references | Bogdan Nowak and Andrzej Trybulec. Hahn-Banach theorem. Formalized Mathematics, 4(1):29–34, 1993. | pl |
| dc.description.references | Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147–152, 1990. | pl |
| dc.description.references | Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115–122, 1990. | pl |
| dc.description.references | Andrzej Trybulec. Function domains and Frænkel operator. Formalized Mathematics, 1(3):495–500, 1990. | pl |
| dc.description.references | Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9–11, 1990. | pl |
| dc.description.references | Wojciech A. Trybulec. Basis of vector space. Formalized Mathematics, 1(5):883–885, 1990. | pl |
| dc.description.references | Wojciech A. Trybulec. Linear combinations in real linear space. Formalized Mathematics, 1(3):581–588, 1990. | pl |
| dc.description.references | Wojciech A. Trybulec. Operations on subspaces in vector space. Formalized Mathematics, 1(5):871–876, 1990. | pl |
| dc.description.references | Wojciech A. Trybulec. Subspaces and cosets of subspaces in vector space. Formalized Mathematics, 1(5):865–870, 1990. | pl |
| dc.description.references | Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291–296, 1990. | pl |
| dc.description.references | Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67–71, 1990. | pl |
| dc.description.references | Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181–186, 1990. | pl |
| dc.identifier.eissn | 1898-9934 | - |
| dc.description.volume | 11 | pl |
| dc.description.issue | 1 | pl |
| dc.description.firstpage | 59 | pl |
| dc.description.lastpage | 68 | pl |
| dc.identifier.citation2 | Formalized Mathematics | pl |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2003, Volume 11, Issue 1 | |
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|---|---|---|---|---|
| Quotient_Vector_Spaces_and_Functionals.pdf | 87,27 kB | Adobe PDF | Otwórz |
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