KOMPLEMEN NORMAL DAN OPERATOR-OPERATOR PADA RUANGINNER PRODUK NON-ARCHIMEDEAN c0(K);( NORMAL COMPLEMENT AND OPERATORS ONNON-ARCHIMEDEAN INNER PRODUCT SPACE c0(K) )
2015
In this thesis, we study a closed subspace of the non-Archimedean inner
product space (c0(K); h:; :i) which has a normal complement, that is, a closed subspace
M ? c0(K) such that c0(K) = M ? M? and hx; yi = 0 for all x 2 M
and y 2 M?. Among the subspaces which have normal complement are finitedimensional
subspaces, closed subspaces that have an orthonormal basis with the
Riemann-Lebesgue property and null spaces of Riez functional. In addition, in this
thesis, we also discuss about normal projection, adjoint and self adjoint operators
on non-Archimedean inner product space c0(K).
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