The linear isometries between weighted Banach spaces of continuous functions are considered. Some of well known theorems on isometries between spaces of continuous functions are proved and stated, but all they are in an appropriate form. In this pa...
Points: 220 | Comments: 78 | Author: fortran77
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Laccases (benzenodiol: oxygen oxidoreductases; EC 1.10.3.2) are multicopper oxidases of wide substrate specificity mainly found in white-rot fungi, which are the only microorganisms able to degrade the whole wood components, but they are also expre...
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The Lizorkin space is well-suited for studying various operators; e.g., fractional Laplacians and the Radon transform. In this paper, we show that the space is unfortunately not complemented in the Schwartz space. However, we can show that it is dens...
Without strip (), bananas is present in the dictionary but with an empty string as value. With strip (), this code will throw an exception because it strips the tab of the banana line.
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For $σ>0$, the Bernstein space \ $B^1_σ$ consists of those $L^1(R)$\ functions whose Fourier transforms are supported by $[-σ,σ]$. Since $B^1_σ$ is separable and dual to some Banach space, the closed unit ball $D(B^1_σ)$ of $B^1_σ$\ has suffic...
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Letting $E$, $F$ be Banach spaces, the main two results of this paper are the following: (1) If every (linear bounded) operator $E\rightarrow F$ is unconditionally converging, then every polynomial from $E$ to $F$ is unconditionally converging (def...
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Without strip (), bananas is present in the dictionary but with an empty string as value. With strip (), this code will throw an exception because it strips the tab of the banana line.
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Studying a question of Kazhdan and Yom Din we first prove some new fixed point theorems for linear actions of a discrete countable group $G$ on a dual Banach space $V^*$, and then show that the answer to the question in full generality is in the nega...
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Motivated by the local theory of Banach spaces we introduce a notion of finite representability for metric spaces. This allows us to develop a new technique for comparing the generalized roundness of metric spaces. We illustrate this technique in two...
We discuss construction of coverings of the unit ball of a finite dimensional Banach space. The well known technique of comparing volumes gives upper and lower bounds on covering numbers. This technique does not provide a construction of good coverin...
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In this paper, we develop the theory of absolutely summing multipolynomials. Among other results, we generalize and unify previous works of G. Botelho and D. Pellegrino concerning absolutely summing polynomials/multilinear mappings in Banach spaces w...
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