An-Najah University Journal for Research - A (Natural Sciences)

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HK Spaces with AD Property
DOI:
10.35552/anujr.a.9.1.412
Authors:

Article info

20 - 29

Keywords

Abstract

If H is an HK space which has AD property, then we define the matrix A(H)= (amn) as am=< em,en>H. We prove that A(H) is uniquely determined by H , and hence conclude that there is a one - to - one map between the collection of all HK spaces which have AD, and that of all matrices which are positive definite and Hermitian. Finally, we calculate A(H2|w) where W={dn} is an interpolating sequence.

Recommended Citation

BibTex RIS
Hakawati, A. A. (1995). HK Spaces with AD Property. An-Najah University Journal for Research - A (Natural Sciences), 9(1), 20–29. https://doi.org/10.35552/anujr.a.9.1.412
[1]A. A. Hakawati, “HK Spaces with AD Property,” An-Najah University Journal for Research - A (Natural Sciences), vol. 9, no. 1, pp. 20–29, Jan. 1995, doi: 10.35552/anujr.a.9.1.412.
Hakawati, Abdallah A. “HK Spaces with AD Property.” An-Najah University Journal for Research - A (Natural Sciences), vol. 9, no. 1, Jan. 1995, pp. 20–29. Crossref, https://doi.org/10.35552/anujr.a.9.1.412.
1.Hakawati AA. HK Spaces with AD Property. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 1995 Jan;9(1):20–9. Available from: http://dx.doi.org/10.35552/anujr.a.9.1.412
Hakawati, Abdallah A. “HK Spaces with AD Property.” An-Najah University Journal for Research - A (Natural Sciences) 9, no. 1 (January 1995): 20–29. https://doi.org/10.35552/anujr.a.9.1.412.
HK Spaces with AD Property
DOI:
10.35552/anujr.a.9.1.412
المؤلفون:

معلومات المقال

20 - 29

الكلمات الإفتتاحية

الملخص

If H is an HK space which has AD property, then we define the matrix A(H)= (amn) as am=< em,en>H. We prove that A(H) is uniquely determined by H , and hence conclude that there is a one - to - one map between the collection of all HK spaces which have AD, and that of all matrices which are positive definite and Hermitian. Finally, we calculate A(H2|w) where W={dn} is an interpolating sequence.

Recommended Citation

BibTex RIS
Hakawati, A. A. (1995). HK Spaces with AD Property. An-Najah University Journal for Research - A (Natural Sciences), 9(1), 20–29. https://doi.org/10.35552/anujr.a.9.1.412
[1]A. A. Hakawati, “HK Spaces with AD Property,” An-Najah University Journal for Research - A (Natural Sciences), vol. 9, no. 1, pp. 20–29, Jan. 1995, doi: 10.35552/anujr.a.9.1.412.
Hakawati, Abdallah A. “HK Spaces with AD Property.” An-Najah University Journal for Research - A (Natural Sciences), vol. 9, no. 1, Jan. 1995, pp. 20–29. Crossref, https://doi.org/10.35552/anujr.a.9.1.412.
1.Hakawati AA. HK Spaces with AD Property. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 1995 Jan;9(1):20–9. Available from: http://dx.doi.org/10.35552/anujr.a.9.1.412
Hakawati, Abdallah A. “HK Spaces with AD Property.” An-Najah University Journal for Research - A (Natural Sciences) 9, no. 1 (January 1995): 20–29. https://doi.org/10.35552/anujr.a.9.1.412.
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