Invariant subspaces of analytic multiparticle Hamiltonians
نویسندگان
چکیده
منابع مشابه
Simply Invariant Subspaces and Generalized Analytic Functions1
for all/, g E A. Let A 0 be the set of functions in A with// dm = 0. Denote by Hpidm) the closure [^4]p of ^4 in Lpidm), p = i, 2 and by Haidm) the weak* closure |yl]* of A in P°°(¿wi). We shall drop the parenthesis (dm), in the future, while referring to Lpidm) Hpidm), etc. The functions in Hp we call generalized analytic functions. Say that a closed subspace ÜDÍ of Lp is simply invariant if [...
متن کاملAnalytic Contractions, Nontangential Limits, and the Index of Invariant Subspaces
Let H be a Hilbert space of analytic functions on the open unit disc D such that the operator Mζ of multiplication with the identity function ζ defines a contraction operator. In terms of the reproducing kernel for H we will characterize the largest set ∆(H) ⊆ ∂D such that for each f, g ∈ H, g 6= 0 the meromorphic function f/g has nontangential limits a.e. on ∆(H). We will see that the question...
متن کاملAnalytic Continuation and Embeddings in Weighted Backward Shift Invariant Subspaces
By a famous result, functions in backward shift invariant subspaces in Hardy spaces are characterized by the fact that they admit a pseudocontinuation a.e. on T. More can be said if the spectrum of the associated inner function has holes on T. Then the functions of the invariant subspaces even extend analytically through these holes. We will discuss the situation in weighted backward shift inva...
متن کاملInvariant Subspaces, Quasi-invariant Subspaces, and Hankel Operators
In this paper, using the theory of Hilbert modules we study invariant subspaces of the Bergman spaces on bounded symmetric domains and quasi-invariant sub-spaces of the Segal–Bargmann spaces. We completely characterize small Hankel operators with finite rank on these spaces.
متن کاملPerturbation of invariant subspaces ∗
We consider two different theoretical approaches for the problem of the perturbation of invariant subspaces. The first approach belongs to the standard theory. In that approach the bounds for the norm of the perturbation of the projector are proportional to the norm of perturbation matrix, and inversely proportional to the distance between the corresponding eigenvalues and the rest of the spect...
متن کاملذخیره 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: Journal of Mathematical Analysis and Applications
سال: 1975
ISSN: 0022-247X
DOI: 10.1016/0022-247x(75)90163-8