Arazy-Cwikel property for quasi-banach couples

نویسندگان

چکیده

The main result of this paper establishes that the known Arazy-Cwikel property holds for classes uniformly K-monotone spaces in quasi-Banach setting provided initial couple is mutually closed. As a consequence, we get class all K-spaces (i.e., interpolation which are described by real K-method) with respect to an arbitrary closed Banach enjoys property. Moreover, show also whenever couples involved have uniform Calderón-Mityagin This complements and refines previous results Bykov-Ovchinnikov even case spaces. We apply obtained some classical families

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

Cwikel and Quasi-szegö Type Estimates for Random Operators

We consider Schrodinger operators with nonergodic random potentials. Specifically, we are interested in eigenvalue estimates and estimates of the entropy for the absolutely continuous part of the spectral measure. We prove that increasing oscillations in the potential at infinity have the same effect on the properties of the spectrum as the decay of the potential. Recall the Rozenbljum-Cwikel-L...

متن کامل

fixed point property for banach algebras associated to locally compact groups

در این پایان نامه به بررسی خاصیت نقطه ثابت و خاصیت نقطه ثابت برای نیم گروههای برگشت پذیر چپ روی بعضی جبرهای باناخ از جمله جبر فوریه و جبر فوریه استیلتیس پرداخته شده است. برای مثال بیان شده است که اگر گروه یک گروه فشرده موضعی با همسایگی فشرده برای عنصر همانی که تحت درونریختی ها پایاست باشد آنگاه جبر فوریه و جبر فوریه استیلتیس دارای خاصیت نقطه ثابت برای نیم گروه های برگشت پذیر چپ است اگر و تنها ا...

15 صفحه اول

Interpolation Functors and Banach Couples

The theory of interpolation spaces originally arose from an attempt to generalize the classical interpolation theorems of M. Riesz and Marcinkiewicz to a more abstract setting. However it should more correctly be described as a theory of "families" of abstract spaces : Given a number of (usually two) spaces contained in a common "large" space, we try to find as many "families" of new such space...

متن کامل

An Analogue of the Radon-nikodym Property for Non-locally Convex Quasi-banach Spaces

where g:(0, 1)-»X is an essentially bounded strongly measurable function. In this paper we examine analogues of the Radon-Nikodym Property for quasiBanach spaces. If 0 < p < 1, there are several possible ways of defining "differentiable" operators on Lp, but they inevitably lead to the conclusion that the only differentiable operator is zero. For example, a differentiable operator on L\ has the...

متن کامل

Interpolation of Banach Algebras and Tensor Products of Banach Couples

We consider interpolation of unital Banach algebras, in the special case when the intersection space is non-unital, giving precise conditions of when an interpolation algebra is unital.

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: Positivity

سال: 2022

ISSN: ['1572-9281', '1385-1292']

DOI: https://doi.org/10.1007/s11117-022-00936-8