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Andruchow, E.; Antezana, J.; Corach, G. "Topology and smooth structure for pseudoframes" (2010) Integral Equations and Operator Theory. 67(4):451-466
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Abstract:

Given a closed subspace S of a Hilbert space H, we study the sets Fs of pseudo-frames, CFs of commutative pseudo-frames and X{script}s of dual frames for S, via the (well known) one to one correspondence which assigns a pair of operators (F, H) to a frame pair ({fn}n∈ℕ,{hn}n∈ℕ), We prove that, with this identification, the sets Fs, CFs and X{script}s are complemented submanifolds of B(ℓ2,H) × B(ℓ2,H). We examine in more detail X{script}s, which carries a locally transitive action from the general linear group GL(ℓ2). For instance, we characterize the homotopy theory of X{script}s and we prove that X{script}s is a strong deformation retract both of Fs and CFs; therefore these sets share many of their topological properties. © Springer Basel AG 2010.

Registro:

Documento: Artículo
Título:Topology and smooth structure for pseudoframes
Autor:Andruchow, E.; Antezana, J.; Corach, G.
Filiación:Instituto de Ciencias, UN de Gral. Sarmiento and IAM-CONICET, Buenos Aires, Argentina
Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain
Depto. de Matemática, FI-UBA and IAM-CONICET, Buenos Aires, Argentina
Palabras clave:Dual frames; Pseudoframes
Año:2010
Volumen:67
Número:4
Página de inicio:451
Página de fin:466
DOI: http://dx.doi.org/10.1007/s00020-010-1812-9
Título revista:Integral Equations and Operator Theory
Título revista abreviado:Integr. Equ. Oper. Theory
ISSN:0378620X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v67_n4_p451_Andruchow

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Citas:

---------- APA ----------
Andruchow, E., Antezana, J. & Corach, G. (2010) . Topology and smooth structure for pseudoframes. Integral Equations and Operator Theory, 67(4), 451-466.
http://dx.doi.org/10.1007/s00020-010-1812-9
---------- CHICAGO ----------
Andruchow, E., Antezana, J., Corach, G. "Topology and smooth structure for pseudoframes" . Integral Equations and Operator Theory 67, no. 4 (2010) : 451-466.
http://dx.doi.org/10.1007/s00020-010-1812-9
---------- MLA ----------
Andruchow, E., Antezana, J., Corach, G. "Topology and smooth structure for pseudoframes" . Integral Equations and Operator Theory, vol. 67, no. 4, 2010, pp. 451-466.
http://dx.doi.org/10.1007/s00020-010-1812-9
---------- VANCOUVER ----------
Andruchow, E., Antezana, J., Corach, G. Topology and smooth structure for pseudoframes. Integr. Equ. Oper. Theory. 2010;67(4):451-466.
http://dx.doi.org/10.1007/s00020-010-1812-9