In this paper, we establish new generalizations and results in shift-invariant subspaces of mixed-norm Lebesgue spaces Lp→(Rd). We obtain a Hölder inequality, Minkowski convolution convolution-Hölder type inequality stability theorem to case the setting subspace Our unify refine existing literature.

The interplay between topological hyperconvex spaces and sigma-finite measures in such gives rise to a set of analytical observations. This paper introduces the Noetherian class k-finite k-hyperconvex subspaces (NHCs) admitting countable finite covers. A measure is constructed sigma-semiring NHC under ordering NHCs. relation maintains irreflexive anti-symmetric algebraic properties while retain...

Let P be a Poisson homogeneous G-space. In [Dr2], Drinfeld shows that corresponding to each p ∈ P , there is a maximal isotropic Lie subalgebra lp of the Lie algebra d, the double Lie algebra of the tangent Lie bialgebra (g, g∗) of G. Moreover, for g ∈ G, the two Lie algebras lp and lgp are related by lgp = Adg lp via the Adjoint action of G on d. In particular, they are isomorphic as Lie algeb...

Let V be an n-dimensional complex linear space and L(V) the algebra of all linear transformations on V . We prove that every linear map on L(V), which maps every operator into an operator with isomorphic lattice of invariant subspaces, is an inner automorphism or an inner antiautomorphism multiplied by a nonzero constant and additively perturbed by a scalar type operator. The same result holds ...

We prove a number of results concerning the embedding of a Banach lattice X into an r. i. space Y. For example we show that if Y is an r. i. space on [0, oo) which is/7-convex for some/? > 2 and has nontrivial concavity then any Banach lattice X which is r-convex for some r > 2 and embeds into Y must embed as a sublattice. Similar conclusions can be drawn under a variety of hypotheses on Y; if ...

In this paper, we establish generalized sampling theorems, stability theorems and new inequalities in the setting of shift-invariant subspaces Lebesgue Wiener amalgam spaces with mixed-norms. A convergence theorem general iteration algorithms for some Lp→(Rd) are also given.

We first include a result of the second author showing that the Banach space S is complementably minimal. We then show that every block sequence of the unit vector basis of S has a subsequence which spans a space isomorphic to its square. By the Pe lczyński decomposition method it follows that every basic sequence in S which spans a space complemented in S has a subsequence which spans a space ...

We investigate the geometry of $C(K,X)$ and $\ell _{\infty }(X)$ spaces through complemented subspaces form $(\bigoplus _{i\in \varGamma }X_i)_{c_0}$. For Banach $X$ $Y$, we prove that if has a subsp

We show norm estimates for the sum of independent random variables in noncommutative Lp-spaces for 1 < p <∞ following our previous work. These estimates generalize the classical Rosenthal inequality in the commutative case. Among applications, we derive an equivalence for the p-norm of the singular values of a random matrix with independent entries, and characterize those symmetric subspaces an...