National Repository of Grey Literature 3 records found  Search took 0.01 seconds. 
Orthogonality in Banach spaces
Mašková, Alice ; Lukeš, Jaroslav (advisor) ; Milota, Jaroslav (referee)
In the present work we study properties of orthogonality in Hilbert spaces and possibilities of extending definition to more general type of spaces, Banach spaces. We concentrate mostly on Birkhoff-James orthogonality and investigate, which properties of Hilbert space orthogonality are still valid for Banach spaces, otherwise we provide counter-examples. As the orthogonality is generally not symmetric, we have to distinguish between right and left properties. We use Birkhoff-James orthogonality to characterize smooth and strictly convex Banach spaces. Then we study properties of Hilbert space orthogonal projection and its generalizations for Banach spaces.We study projections of norm equal one and minimal projections.
Orthogonality in Banach spaces
Mašková, Alice ; Milota, Jaroslav (referee) ; Lukeš, Jaroslav (advisor)
In the present work we study properties of orthogonality in Hilbert spaces and possibilities of extending definition to more general type of spaces, Banach spaces. We concentrate mostly on Birkhoff-James orthogonality and investigate, which properties of Hilbert space orthogonality are still valid for Banach spaces, otherwise we provide counter-examples. As the orthogonality is generally not symmetric, we have to distinguish between right and left properties. We use Birkhoff-James orthogonality to characterize smooth and strictly convex Banach spaces. Then we study properties of Hilbert space orthogonal projection and its generalizations for Banach spaces.We study projections of norm equal one and minimal projections.
Analytical method of Allen Forte and its applications
Mašková, Alice ; Pudlák, Miroslav (referee) ; Havelková, Tereza (advisor)
Present work deals with analytical method of Allen Forte which is based on the set theory. This method is a frequently used tool for analysis of atonal music, mainly in the United States. However, in the Czech musicology it is still not well known. The only property of music which is considered is pitch. In this work important theoretical and analytical studies are presented. Basic terms are explained including their evolution. Next, the work describes polemical debate reacting on Forte's texts. The debate proceeded mainly in musical journals and was concerned with the problem of determining the scope of usability of the theory, as well as with questions of too high formality of the method and also with the important problem of segmentation, which means determining smaller units as objects of analysis. Attention is paid to possible exploitation of computer programs, too. As there is no Czech terminology for Forte's theory, it was necessary to create one. Vocabulary of terms is included.

See also: similar author names
3 MAŠKOVÁ, Adéla
1 MAŠKOVÁ, Andrea
6 MAŠKOVÁ, Anna
3 Mašková, Adéla
1 Mašková, Alena
3 Mašková, Alžběta
1 Mašková, Aneta
6 Mašková, Anna
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