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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| Format: | Dissertations |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/41368 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | 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 |
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