Leray-Schauder theory without local convexity

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

Leray–schauder Type Alternatives and the Solvability of Complementarity Problems

We present in this paper several existence theorems for nonlinear complementarity problems in Hilbert spaces. Our results are based on the concept of “exceptional family of elements” and on Leray–Schauder type altrenatives.

متن کامل

Generalized Leray–schauder Principles for Compact Admissible Multifunctions

We establish the Leray–Schauder type theorems for very general classes of multifunctions, which are called admissible. Our admissible classes contain compositions of important multifunctions in nonlinear analysis and algebraic topology. Moreover, our arguments are elementary, without using the concept of degree of maps or theory of homotopy extensions. The Leray–Schauder principle [LS], one of ...

متن کامل

Fixed Point Theory and Generalized Leray–schauder Alternatives for Approximable Maps in Topological Vector Spaces

Some new fixed point theorems for approximable maps are obtained in this paper. Homotopy results, via essential maps, are also presented for approximable maps.

متن کامل

Leray–schauder Degree: a Half Century of Extensions and Applications

The Leray–Schauder degree is defined for mappings of the form I−C, where C is a compact mapping from the closure of an open bounded subset of a Banach space X into X. Since the fifties, a lot of work has been devoted in extending this theory to the same type of mappings on some nonlinear spaces, and in extending the class of mappings in the frame of Banach spaces or manifolds. New applications ...

متن کامل

Local Theory of Frames and Schauder Bases for Hilbert Space

We develope a local theory for frames on finite dimensional Hilbert spaces. We show that for every frame (fi) m i=1 for an n-dimensional Hilbert space, and for every ǫ > 0, there is a subset I ⊂ {1, 2, . . . ,m} with |I| ≥ (1 − ǫ)n so that (fi)i∈I is a Riesz basis for its span with Riesz basis constant a function of ǫ, the frame bounds, and (‖fi‖) m i=1 , but independent of m and n. We also con...

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: Mathematische Annalen

سال: 1962

ISSN: 0025-5831,1432-1807

DOI: 10.1007/bf01471090