scholarly journals Erratum: Admissible Input Elements for Systems in Hilbert Space and a Carleson Measure Criterion

1983 ◽  
Vol 21 (6) ◽  
pp. 985-986 ◽  
Author(s):  
L. F. Ho ◽  
D. L. Russell
Keyword(s):  
Hilbert Space ◽  
Carleson Measure

scholarly journals Bilinear forms on vector Hardy spaces

1997 ◽  
Vol 39 (3) ◽  
pp. 371-378
Author(s):  
Gordon Blower
Keyword(s):  
Hilbert Space ◽  
Hardy Space ◽  
Bilinear Form ◽  
Hardy Spaces ◽  
Carleson Measure ◽  
Reproducing Kernel ◽  
Bilinear Forms ◽  
Sufficient Condition

AbstractLet φ: ℋ → be a bilinear form on vector Hardy space. Introduce the symbol φ of Φ by (φ (Z1, Z2), a ⊗ b) = Φ (K21 ⊗ a, K22 ⊗ b ), where Kw is the reproducing kernel for w ∈ D. We show that Φ extends to a bounded bilinear form on provided that the gradient defines a Carleson measure in the bidisc D2. We obtain a sufficient condition for Φ to extend to a Hilbert space. For vectorial bilinear Hankel forms we obtain an analogue of Nehari's Theorem.

Hilbert Space

1993 ◽  
Author(s):  
J. R. Retherford
Keyword(s):  
Hilbert Space

On Definition of Expansion Probabilistic Hilbert Space

2018 ◽  
Vol 14 (3) ◽  
pp. 59-73
Author(s):  
Ahmed Hasan Hamed ◽  
Keyword(s):  
Hilbert Space ◽  
Definition Of

ON A GENERALIZATION OF THE HILBERT SPACE

1989 ◽  
Vol 22 (1) ◽  
pp. 1-20
Author(s):  
Hubert Wywcki
Keyword(s):  
Hilbert Space
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