Remarks on absolutely summing translation invariant operators from the disc algebra and its dual into a Hilbert space.
نویسندگان
چکیده
منابع مشابه
Absolutely 2-Summing Operators, 2 a Symmetric Sequence Space
Pietsch [5] introduced the concept of absolutely summing operators in Banach spaces and later in [6] extended this concept to absolutely p-summing operators. At the background of these concepts are the sequence spaces I p and their duality theory. The object of the present paper is to extend the above concept to abstract sequence spaces 2. The sequence spaces 2 involved are described in Section...
متن کاملInvariant elements in the dual Steenrod algebra
In this paper, we investigate the invariant elements of the dual mod $p$ Steenrod subalgebra ${mathcal{A}_p}^*$ under the conjugation map $chi$ and give bounds on the dimensions of $(chi-1)({mathcal{A}_p}^*)_d$, where $({mathcal{A}_p}^*)_d$ is the dimension of ${mathcal{A}_p}^*$ in degree $d$.
متن کاملREMARKS ON LIPSCHITZ p-SUMMING OPERATORS
In this note, a nonlinear version of the Extrapolation Theorem is proved and as a corollary, a nonlinear version of the Grothendieck’s Theorem is presented. Finally, we prove that if T : X → H is Lipschitz with X being a pointed metric space and T (0) = 0 such that T∣H∗ is q-summing (1 ≤ q <∞), then T is Lipschitz 1-summing.
متن کاملAbsolutely Summing Operators on Non Commutative C-algebras and Applications
Let E be a Banach space that does not contain any copy of l and A be a non commutative C∗-algebra. We prove that every absolutely summing operator from A into E∗ is compact, thus answering a question of Pe lczynski. As application, we show that if G is a compact metrizable abelian group and Λ is a Riesz subset of its dual then every countably additiveA∗-valued measure with bounded variation and...
متن کاملOn Weakly Measurable Stochastic Processes and Absolutely Summing Operators
A linear and continuous operator between Banach spaces is said to be absolutely summing if it maps unconditionally convergent series into absolutely convergent series. Moreover, it improves properties of stochastic processes. Indeed, N.Ghoussoub in [7] proved that an operator is absolutely summing if and only if it maps amarts (asymptotic martingales) into uniform amarts. In this paper we go a ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1978
ISSN: 0026-2285
DOI: 10.1307/mmj/1029002059