BIRKHOFF ORTHOGONALITY AND ANGLE CHARACTERISATION IN `1 N
There are various concepts regarding orthogonality in normed spaces, one of which is stated by mathematician G.D. Birkhoff (1884-1944). Birkhoff defined an orthogonality, in which the norm of a vector generated by adding a particular vector of reference with an arbitrary multiple of another vecto...
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id-itb.:478452020-06-22T11:48:38ZBIRKHOFF ORTHOGONALITY AND ANGLE CHARACTERISATION IN `1 N Daffa Muhamad P, Mas Indonesia Final Project `1 n-space, Birkhoff orthogonality, Birkhoff angle characterisation, resolvability property. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/47845 There are various concepts regarding orthogonality in normed spaces, one of which is stated by mathematician G.D. Birkhoff (1884-1944). Birkhoff defined an orthogonality, in which the norm of a vector generated by adding a particular vector of reference with an arbitrary multiple of another vector should be greater or equal than the norm of the vector of reference itself. This Final Project will discuss a characterisation of acute and obtuse angles that is suitable with the definition of Birkhoff orthogonality in a normed space. In particular, Birkhoff orthogonality and angle in `1 n-space will be discussed. In addition, resolvability property of Birkhoff orthogonality in `1 n will be also discussed; with focus on finding all possible values of a which make the resolvability property holds for two arbitrary vectors in `1 n. text |
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Institut Teknologi Bandung |
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Asia |
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Indonesia Indonesia |
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Indonesia |
| description |
There are various concepts regarding orthogonality in normed spaces, one of which
is stated by mathematician G.D. Birkhoff (1884-1944). Birkhoff defined an orthogonality,
in which the norm of a vector generated by adding a particular vector of
reference with an arbitrary multiple of another vector should be greater or equal
than the norm of the vector of reference itself. This Final Project will discuss a
characterisation of acute and obtuse angles that is suitable with the definition of
Birkhoff orthogonality in a normed space. In particular, Birkhoff orthogonality and
angle in `1
n-space will be discussed. In addition, resolvability property of Birkhoff
orthogonality in `1
n will be also discussed; with focus on finding all possible values
of a which make the resolvability property holds for two arbitrary vectors in `1
n. |
| format |
Final Project |
| author |
Daffa Muhamad P, Mas |
| spellingShingle |
Daffa Muhamad P, Mas BIRKHOFF ORTHOGONALITY AND ANGLE CHARACTERISATION IN `1 N |
| author_facet |
Daffa Muhamad P, Mas |
| author_sort |
Daffa Muhamad P, Mas |
| title |
BIRKHOFF ORTHOGONALITY AND ANGLE CHARACTERISATION IN `1 N |
| title_short |
BIRKHOFF ORTHOGONALITY AND ANGLE CHARACTERISATION IN `1 N |
| title_full |
BIRKHOFF ORTHOGONALITY AND ANGLE CHARACTERISATION IN `1 N |
| title_fullStr |
BIRKHOFF ORTHOGONALITY AND ANGLE CHARACTERISATION IN `1 N |
| title_full_unstemmed |
BIRKHOFF ORTHOGONALITY AND ANGLE CHARACTERISATION IN `1 N |
| title_sort |
birkhoff orthogonality and angle characterisation in `1 n |
| url |
https://digilib.itb.ac.id/gdl/view/47845 |
| _version_ |
1822271561830236160 |