Complemented and uncomplemented subspaces of Banach spaces.
Does a given Banach space have any non-trivial complemented subspaces? Usually, the answer is: yes, quite a lot. Sometimes the answer is: no, none at all.
Complemented copies of c0 in C0(Ω).
En esta nota consideramos una clase de espacios topológicos de Hausdorff localmente compactos (Ω) con la propiedad de que el espacio de Banach C0(Ω) de todas las funciones continuas con valores escalares definidas en Ω que se anulan en el infinito, equipado con la norma supremo, contiene una copia de C0 norma-uno complementada, mientras que C (βΩ) contiene una copia de l∞ linealmente isométrica.
Complemented copies of c0 in vector-valued Köthe-Dieudonné function spaces.
Let [Lambda] be a barrelled perfect (in the sense of J. Dieudonné) Köthe space of measurable functions defined on an atomless finite Radon measure space. Let X be a Banach space containing a copy of c0, then the space [Lambda(X)] of [Lambda]-Bochner integrable functions contains a complemented copy of c0.
Complemented copies of spaces in tensor products
We give sufficient conditions on Banach spaces and so that their projective tensor product , their injective tensor product , or the dual contain complemented copies of .
Complemented Infinite Type Power Series Subspaces of Nuclear Fréchet Spaces.
Complemented kernels of partial differential operators in weighted spaces of (generalized) functions
Complemented *-primitive Ideals in L1-algebras of Exponential Lie Groups and of Motion Groups.
Complemented subalgebras of the Baire-1 functions defined on the interval .
Complemented subspaces in tame power series spaces
Complemented subspaces of -adic second dual Banach spaces.
Complemented subspaces of sums and products of copies of L1[0, 1].
We prove that the direct sum and the product of countably many copies of L1[0, 1] are primary locally convex spaces. We also give some related results.
Complemented subspaces with a strong finite-dimensional decomposition of nuclear Köthe spaces have a basis
The following result is proved: Let E be a complemented subspace with an r-finite-dimensional decomposition of a nuclear Köthe space λ(A). Then E has a basis.
Complete duals of C*(X).
Complete Hartogs Domains in C2 have Regular Bergman and Szegö Projections.
Complete holomorphic vector fields on the second dual of Banach space.
Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's (Ap) condition.
We describe the complete interpolating sequences for the Paley-Wiener spaces Lπp (1 < p < ∞) in terms of Muckenhoupt's (Ap) condition. For p = 2, this description coincides with those given by Pavlov [9], Nikol'skii [8] and Minkin [7] of the unconditional bases of complex exponentials in L2(-π,π). While the techniques of these authors are linked to the Hilbert space geometry of Lπ2, our method of proof is based in turning the problem into one about boundedness of the Hilbert transform...
Complete polynomial vector fields in a ball.
Complete positivity and asymptotic abelianness
Complete Positivity of Mapping Valued Linear Maps.
Complete Spaces of Vector-Valued Holomorphic Germs.