Riesz bases and positive operators on Hilbert space

Holub, James R.

Riesz bases and positive operators on Hilbert space

dc.contributor.author	Holub, James R.	en
dc.contributor.department	Mathematics	en
dc.date.accessioned	2017-09-18T10:08:21Z	en
dc.date.available	2017-09-18T10:08:21Z	en
dc.date.issued	2003-01-01	en
dc.date.updated	2017-09-18T10:08:21Z	en
dc.description.abstract	It is shown that a normalized Riesz basis for a Hilbert space H (i.e., the isomorphic image of an orthonormal basis in H) induces in a natural way a new, but equivalent, inner product onH in which it is an orthonormal basis, thereby extending thesense in which Riesz bases and orthonormal bases are thought ofas being the same. A consequence of themethod of proof of this result yields a series representation forall positive isomorphisms on a Hilbert space.	en
dc.description.version	Published version	en
dc.format.mimetype	application/pdf	en
dc.identifier.citation	James R. Holub, “Riesz bases and positive operators on Hilbert space,” International Journal of Mathematics and Mathematical Sciences, vol. 2003, no. 18, pp. 1173-1174, 2003. doi:10.1155/S0161171203202349	en
dc.identifier.doi	https://doi.org/10.1155/S0161171203202349	en
dc.identifier.uri	http://hdl.handle.net/10919/79094	en
dc.language.iso	en	en
dc.publisher	Hindawi	en
dc.rights	Creative Commons Attribution 4.0 International	en
dc.rights.holder	Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.	en
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	en
dc.title	Riesz bases and positive operators on Hilbert space	en
dc.title.serial	International Journal of Mathematics and Mathematical Sciences	en
dc.type	Article - Refereed	en
dc.type.dcmitype	Text	en