LOGARITHMIC INTERPOLATION METHODS AND MEASURE OF NON-COMPACTNESS

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

New operators through measure of non-compactness

In this article, we use two concepts, measure of non-compactness and Meir-Keeler condensing operators. The measure of non-compactness has been applied for existence of solution nonlinear integral equations, ordinary differential equations and system of differential equations in the case of finite and infinite dimensions by some authors. Also Meir-Keeler condensing operators are shown in some pa...

متن کامل

Interpolation of -compactness and Pcf

We call a topological space κ-compact if every subset of size κ has a complete accumulation point in it. Let Φ(μ, κ, λ) denote the following statement: μ < κ < λ = cf(λ) and there is {Sξ : ξ < λ} ⊂ [κ] μ such that |{ξ : |Sξ ∩ A| = μ}| < λ whenever A ∈ [κ]. We show that if Φ(μ, κ, λ) holds and the space X is both μ-compact and λ-compact then X is κ-compact as well. Moreover, from PCF theory we d...

متن کامل

The Measure of Non-compactness of a Disjointness Preserving Operator

Let E and F be Banach lattices and assume E∗ has no atoms. Let T : E → F be a norm bounded disjointness preserving operator from E into F . Then β(T ) = α(T ) = ‖T‖e = ‖T‖.

متن کامل

On Compactness in Complex Interpolation

We show that, in complex interpolation, an operator function that is compact on one side of the interpolation scale will be compact for all proper interpolating spaces if the right hand side (Y , Y ) is reduced to a single space. A corresponding result, in restricted generality, is shown if the left hand side (X, X) is reduced to a single space. These results are derived from the fact that a ho...

متن کامل

Diamonds, Compactness, and Measure Sequences

We establish the consistency of the failure of the diamond principle on a cardinal κ which satisfies a strong simultaneous reflection property. The result is based on an analysis of Radin forcing, and further leads to a characterization of weak compactness of κ in a Radin generic extension.

متن کامل

ذخیره 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: The Quarterly Journal of Mathematics

سال: 2019

ISSN: 0033-5606,1464-3847

DOI: 10.1093/qmathj/haz041