Houston Journal of Mathematics, Volume 22Department of Mathematics, University of Houston, 1996 - Mathematics |
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Page 193
... obtain the above theorem for the case in which is a nondecreasing continuous function . We do not know if this theorem is true when N = 1 or 2 . As consequence of the above theorem we obtain the following inho- mogeneous version ...
... obtain the above theorem for the case in which is a nondecreasing continuous function . We do not know if this theorem is true when N = 1 or 2 . As consequence of the above theorem we obtain the following inho- mogeneous version ...
Page 447
... obtain ( 2.36 ) from ( 2.37 ) . To conclude the proof of Theorem A , fix T so that ( 2.36 ) holds . Then we can apply Schauder's fixed point theorem to obtain that Fr has a fixed point u = Fr ( u ) . Thus ( 2.9 ) - ( 2.12 ) holds for vu ...
... obtain ( 2.36 ) from ( 2.37 ) . To conclude the proof of Theorem A , fix T so that ( 2.36 ) holds . Then we can apply Schauder's fixed point theorem to obtain that Fr has a fixed point u = Fr ( u ) . Thus ( 2.9 ) - ( 2.12 ) holds for vu ...
Page 556
... obtain ( 2.21 ) ( Vxg ) ( Y , Z ) = B ( X , Y ) n ( Z ) + B ( X , Z ) n ( Y ) , η for any X Є г ( TTN ) and Y , Z e T ( VTN ) , where n is a local 1 - form defined by n ( Y ) = g ( Y , W ) , VY € г ( VTN ) . Therefore , the induced ...
... obtain ( 2.21 ) ( Vxg ) ( Y , Z ) = B ( X , Y ) n ( Z ) + B ( X , Z ) n ( Y ) , η for any X Є г ( TTN ) and Y , Z e T ( VTN ) , where n is a local 1 - form defined by n ( Y ) = g ( Y , W ) , VY € г ( VTN ) . Therefore , the induced ...
Contents
Volume 22 No 2 1996 | 457 |
Semilocal Kasch Quotient Rings | 687 |
Modules with Finitely Generated Spectra | 700 |
Copyright | |
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A₁ abelian ai-domain assume B₁ Banach algebras Banach space bounded Cartan connection central extension commutative compact compact space condition contains continuous convergence convex Corollary countable curve defined Definition denote Department of Mathematics domain element equation equivalent example exists finite Finsler metric foliation follows Frattini subgroups free products functional calculus group G H₁ Hence Hilbert homomorphism implies inequality infinite integral irreducible isomorphism lattice Lemma Let f linear M₁ Math maximal ideal minimal module neighborhood obtain operator space p-group P₁ proof of Theorem Proposition prove pseudocompact space R-module result ring S(RG satisfies Scorza semigroup seminormal sequence solution subgroup of G submodule subset subspace Suppose surface T₁ Theorem 2.1 topological groups torsion U₁ vector bundle vector fields vertex groups w₁ weakly pseudocompact zero set ΕΙ