Ja n 20 09 AN ANSWER TO THE INVARIANT SUBSPACE PROBLEM
نویسنده
چکیده
To answer to the invariant subspace problem, we show that every transcendental operator has a non-trivial invariant subspace.
منابع مشابه
Has a Non - Trivial Invariant Subspace
In this paper, to solve the invariant subspace problem, contraction operators are classified into three classes ; (Case 1) completely nonunitary contractions with a non-trivial algebraic element, (Case 2) completely non-unitary contractions without a non-trivial algebraic element, or (Case 3) contractions which are not completely non-unitary. We know that every operator of (Case 3) has a non-tr...
متن کامل0 v 2 3 1 Ja n 20 03 Need the masses of unstable particles and their antiparticles be equal in the CPT – invariant system ?
We show that the real parts of diagonal matrix elements of the exact effective Hamiltonian governing the time evolution in the subspace of states of neutral kaons and similar particles can not be equal for t > t0 (t0 is the instant of creation of the pair K0,K0) when the total system under consideration is CPT invariant but CP noninvariant. The unusual consequence of this result is that, contra...
متن کاملJa n 20 09 Bounds for the return probability of the delayed random walk on finite percolation clusters in the critical case
By an eigenvalue comparison-technique[20], the expected return probability of the delayed random walk on critical Bernoulli bond percolation clusters on the twodimensional Euclidean lattice is estimated. The results are generalised to invariant percolations on unimodular graphs with almost surely finite clusters. The approach involves using the special property of cartesian products of finite g...
متن کاملMeasurable Choice and the Invariant Subspace Problem
In [1], J. Dyer, A. Pedersen and P. Porcelli announced that an affirmative answer to the invariant subspace problem would imply that every reductive operator is normal. Their argument, outlined in [1], provides a striking application of direct integral theory. Moreover, this method leads to a general decomposition theory for reductive algebras which in turn illuminates the close relationship be...
متن کاملWeak*-closed invariant subspaces and ideals of semigroup algebras on foundation semigroups
Let S be a locally compact foundation semigroup with identity and be its semigroup algebra. Let X be a weak*-closed left translation invariant subspace of In this paper, we prove that X is invariantly complemented in if and only if the left ideal of has a bounded approximate identity. We also prove that a foundation semigroup with identity S is left amenab...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009