Kitabın içinden
87 sonuçtan 1-3 arası sonuçlar
Sayfa 76
In [ 4 , 5 ] the problem on the linear and continuous dependence of the
coefficients Cj on a function f e A ( G ) was resolved in the following setting . Let K
be a compact convex subset of C , and , as before , let G be a bounded convex
domain in ...
In [ 4 , 5 ] the problem on the linear and continuous dependence of the
coefficients Cj on a function f e A ( G ) was resolved in the following setting . Let K
be a compact convex subset of C , and , as before , let G be a bounded convex
domain in ...
Sayfa 83
A linear operator T : E + A ( C ) satisfies the condition To M = MoT on E if and only
if there exists a function a € A ( C ) such that T ( F ) ( z ) = a ( z ) f ( z ) , z EC , fEE .
Proof . The “ if ” part is obvious . We prove the " only if ” part . For a fixed u EC ...
A linear operator T : E + A ( C ) satisfies the condition To M = MoT on E if and only
if there exists a function a € A ( C ) such that T ( F ) ( z ) = a ( z ) f ( z ) , z EC , fEE .
Proof . The “ if ” part is obvious . We prove the " only if ” part . For a fixed u EC ...
Sayfa 450
SOME INFORMATION ON LINEAR RELATIONS Let M be a linear space , and let
M2 = M X M . Any nonempty linear set T C M2 is called a linear relation in M . The
domain and the range of T are defined as follows : D ( T ) = { f E M | { f ; g } E T ...
SOME INFORMATION ON LINEAR RELATIONS Let M be a linear space , and let
M2 = M X M . Any nonempty linear set T C M2 is called a linear relation in M . The
domain and the range of T are defined as follows : D ( T ) = { f E M | { f ; g } E T ...
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algebraic analytic apply assume basis boundary bounded called chain homotopy closed coefficients complex computation condition connection Consequently consider constant construction contains continuous convex corresponding defined definition deformation denote determined differential domain element equal equation equivalence estimate example exists extension fact field finite fixed formula function given identity implies inequality integral intersection introduce invariant inverse isomorphism Lemma linear Math Mathematical matrix measure metric Moreover natural normal Observe obtain Obviously operator orientation particular periodic positive present problem projective Proof properties Proposition prove regular relation Remark respectively result ring satisfies scheme sequence singular smooth solutions space standard statement Subsection suffices Suppose takes Theorem theory transformation true twists unique vector weight zero