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Showing 1 to 10 of 10 for “"Banach lattice"”.
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Diagonals of Tensor Products of Banach Lattices with Bases.
… we investigate diagonals of tensor products of Banach lattices with bases. We first consider questions on the positive tensor products of l_p spaces. We characterize the main diagonals of the positive projective tensor product and the positive injective tensor product of l_p space. Then by using …
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Bases In Spaces Of Regular Multilinear Operators And Homogeneous Polynomials On Banach Lattices
For Banach lattices E1,…, Em and F with 1-unconditional bases, we show that the monomial sequence forms a 1-unconditional basis of Lr(E1,…, Em;F), the Banach lattice of all regular m-linear operators from E1×···× Em to F, if and only if each basis of E1,…,Em is shrinking and every positive m-linear …
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Types Over Banach Spaces
We give a characterization of Banach lattice types over L p(O, U , mu) in terms of conditional distributions.
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Topics on the geometry and classification of Banach lattices
… topics related to the geometric structure of Banach lattices of various classes, their properties, and classification using tools from functional analysis and mathematical logic. This work can be roughly divided into four parts. The first part (Chapter 2) presents several geometric results on …
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On some spaces related to weak L(p) and their duals
… is a non-reflexive weakly sequentially complete Banach lattice, then the disjoint complement of E in $E\sp{\prime\prime}$ is non-reflexive. So, we would like to obtain more information on (Weak $L\sp{p})\sp\prime$."
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Complemented subspaces of weakL(1)
The Banach envelope of $weakL\sp1$ (denoted $wL\sb{\1})$ is a sort of universal Banach space for separable Banach spaces. In this paper, we can see the complemented Banach subspaces of $wL\sb{\1}.$ In particular, the space $wL\sb{\1}$ contains complemented Banach sublattices that are isometrically …
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Tensor Products Of Vector Seminormed Spaces
… in analogy with the theory of tensor products of Banach spaces. Accordingly, a reasonable cross vector seminorm, or simply tensor seminorm, is defined such that a vector seminorm is a tensor seminorm if and only if it is in between the injective and projective vector seminorms, in analogy with the …
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On qualitative properties and convergence of time-discretization methods for semigroups
… under time-discretization is investigated in a Banach space setting. Preservation of positivity, concavity and other qualitative shape properties which can be described via positivity are treated in a Banach lattice framework. The use of the Hille-Phillips (H-P) functional calculus instead of …
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Positive-off-diagonal Operators on Ordered Normed Spaces and Maximum Principles for M-Operators
M-matrices are extensively employed in numerical analysis. These matrices can be generalized by corresponding operators on a partially ordered normed space. We extend results which are well-known for M-matrices to this more general setting. We investigate two different notions of an M-operator, …