g-ANGLE BETWEEN A LINE AND A SUBSPACE AND BETWEEN TWO PLANES IN AN n-NORMED SPACE
This dissertation discusses the angle between two subspaces in an inner product space and in a normed space, and its generalization in an n-inner product space and in an n-normed space for n 2: In the discussion of angle in a normed space, it is formulated the g-angle and the gg-angle between tw...
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id-itb.:413682019-08-12T10:35:15Zg-ANGLE BETWEEN A LINE AND A SUBSPACE AND BETWEEN TWO PLANES IN AN n-NORMED SPACE Nur, Muh. Indonesia Dissertations vectors, subspaces, inner produc spaces, normed spaces, n-inner product spaces, n-normed spaces g-angles, gg-angles. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/41368 This dissertation discusses the angle between two subspaces in an inner product space and in a normed space, and its generalization in an n-inner product space and in an n-normed space for n 2: In the discussion of angle in a normed space, it is formulated the g-angle and the gg-angle between two vectors and their connection. Moreover, we formulate the g-angle between a 1-dimensional subspace and arbitrary dimensional subspaces. In this section, we also discuss the g-angle between 2-dimensional subspaces. The next section of this dissertation discusses the angle in an n-inner product space and the angle in an n-normed space for n 2: The method used is utilizing the result of a new inner product derived from an n-inner product and the angle in an inner product space. Likewise, using a new norm that is derived from an n-norm and the g-angle in a normed space, we study the g-angle in an n-normed space text |
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This dissertation discusses the angle between two subspaces in an inner product
space and in a normed space, and its generalization in an n-inner product space
and in an n-normed space for n 2: In the discussion of angle in a normed
space, it is formulated the g-angle and the gg-angle between two vectors and their
connection. Moreover, we formulate the g-angle between a 1-dimensional subspace
and arbitrary dimensional subspaces. In this section, we also discuss the g-angle
between 2-dimensional subspaces.
The next section of this dissertation discusses the angle in an n-inner product space
and the angle in an n-normed space for n 2: The method used is utilizing the
result of a new inner product derived from an n-inner product and the angle in an
inner product space. Likewise, using a new norm that is derived from an n-norm
and the g-angle in a normed space, we study the g-angle in an n-normed space |
| format |
Dissertations |
| author |
Nur, Muh. |
| spellingShingle |
Nur, Muh. g-ANGLE BETWEEN A LINE AND A SUBSPACE AND BETWEEN TWO PLANES IN AN n-NORMED SPACE |
| author_facet |
Nur, Muh. |
| author_sort |
Nur, Muh. |
| title |
g-ANGLE BETWEEN A LINE AND A SUBSPACE AND BETWEEN TWO PLANES IN AN n-NORMED SPACE |
| title_short |
g-ANGLE BETWEEN A LINE AND A SUBSPACE AND BETWEEN TWO PLANES IN AN n-NORMED SPACE |
| title_full |
g-ANGLE BETWEEN A LINE AND A SUBSPACE AND BETWEEN TWO PLANES IN AN n-NORMED SPACE |
| title_fullStr |
g-ANGLE BETWEEN A LINE AND A SUBSPACE AND BETWEEN TWO PLANES IN AN n-NORMED SPACE |
| title_full_unstemmed |
g-ANGLE BETWEEN A LINE AND A SUBSPACE AND BETWEEN TWO PLANES IN AN n-NORMED SPACE |
| title_sort |
g-angle between a line and a subspace and between two planes in an n-normed space |
| url |
https://digilib.itb.ac.id/gdl/view/41368 |
| _version_ |
1822925972267073536 |