Strictly singular operators and the invariant subspace problem

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

Some Remarks on the Invariant Subspace Problem for Hyponormal Operators

We make some remarks concerning the invariant subspace problem for hyponormal operators. In particular, we bring together various hypotheses that must hold for a hyponormal operator without nontrivial invariant subspaces, and we discuss the existence of such operators. 2000 Mathematics Subject Classification. 47B20, 47A15. Let be a separable, infinite-dimensional, complex Hilbert space and deno...

متن کامل

The Invariant Subspace Problem

Notes for my lectures in the PSU Analysis Seminar during the winter and spring terms 2013-14, with special emphasis on the 1972 results of Victor Lomonosov.

متن کامل

The Invariant Subspace Problem

The notion of an invariant subspace is fundamental to the subject of operator theory. Given a linear operator T on a Banach space X, a closed subspace M of X is said to be a non-trivial invariant subspace for T if T (M) ⊆M and M 6= {0}, X. This generalizes the idea of eigenspaces of n×n matrices. A famous unsolved problem, called the “invariant subspace problem,” asks whether every bounded line...

متن کامل

The Invariant Subspace Problem

Heeft elke begrensde lineaire operator, werkend op een Hilbert ruimte, een niet-triviale invariante deelruimte? Het antwoord is positief voor zowel eindig-dimensionale ruimtes als voor niet-separabele ruimtes. Het onopgeloste probleem voor het geval daar tussenin, dus voor separabele Hilbert ruimtes staat bekend als het invariante deelruimte probleem. Professor B.S. Yadav van de Indian Society ...

متن کامل

operators on L ( L p ) and ` p - strictly singular operators

A classification of weakly compact multiplication operators on L(Lp), 1 < p < ∞, is given. This answers a question raised by Saksman and Tylli in 1992. The classification involves the concept of `p-strictly singular operators, and we also investigate the structure of general `p-strictly singular operators on Lp . The main result is that if an operator T on Lp , 1 < p < 2, is `p-strictly singula...

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: Studia Mathematica

سال: 1999

ISSN: 0039-3223,1730-6337

DOI: 10.4064/sm-132-3-203-226