Generalized Inner-Outer Factorizations in Non Commutative Hardy Algebras

Leonid Helmer

doi:10.1007/s00020-015-2277-7

Generalized Inner-Outer Factorizations in Non Commutative Hardy Algebras

Leonid Helmer

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Let (Formula presented.) be a non commutative Hardy algebra, associated with a (Formula presented.) -correspondence E. In this paper we construct factorizations of inner-outer type of the elements of (Formula presented.) represented via the induced representation, and of the elements of its commutant. These factorizations generalize the classical inner-outer factorization of elements of (Formula presented.). Our results also generalize some results that were obtained by several authors in some special cases.

Original language	English
Pages (from-to)	555-575
Number of pages	21
Journal	Integral Equations and Operator Theory
Volume	84
Issue number	4
DOIs	https://doi.org/10.1007/s00020-015-2277-7
State	Published - 1 Apr 2016

Keywords

Hardy algebras
Inner-outer factorization
Representations
W-correspondence

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

Access to Document

10.1007/s00020-015-2277-7

Cite this

@article{1023939e81c148b3844d4576d6f2259e,

title = "Generalized Inner-Outer Factorizations in Non Commutative Hardy Algebras",

abstract = "Let (Formula presented.) be a non commutative Hardy algebra, associated with a (Formula presented.) -correspondence E. In this paper we construct factorizations of inner-outer type of the elements of (Formula presented.) represented via the induced representation, and of the elements of its commutant. These factorizations generalize the classical inner-outer factorization of elements of (Formula presented.). Our results also generalize some results that were obtained by several authors in some special cases.",

keywords = "Hardy algebras, Inner-outer factorization, Representations, W-correspondence",

author = "Leonid Helmer",

note = "Publisher Copyright: {\textcopyright} 2016, Springer International Publishing.",

year = "2016",

month = apr,

day = "1",

doi = "10.1007/s00020-015-2277-7",

language = "English",

volume = "84",

pages = "555--575",

journal = "Integral Equations and Operator Theory",

issn = "0378-620X",

publisher = "Birkhauser Verlag Basel",

number = "4",

}

TY - JOUR

T1 - Generalized Inner-Outer Factorizations in Non Commutative Hardy Algebras

AU - Helmer, Leonid

PY - 2016/4/1

Y1 - 2016/4/1

N2 - Let (Formula presented.) be a non commutative Hardy algebra, associated with a (Formula presented.) -correspondence E. In this paper we construct factorizations of inner-outer type of the elements of (Formula presented.) represented via the induced representation, and of the elements of its commutant. These factorizations generalize the classical inner-outer factorization of elements of (Formula presented.). Our results also generalize some results that were obtained by several authors in some special cases.

AB - Let (Formula presented.) be a non commutative Hardy algebra, associated with a (Formula presented.) -correspondence E. In this paper we construct factorizations of inner-outer type of the elements of (Formula presented.) represented via the induced representation, and of the elements of its commutant. These factorizations generalize the classical inner-outer factorization of elements of (Formula presented.). Our results also generalize some results that were obtained by several authors in some special cases.

KW - Hardy algebras

KW - Inner-outer factorization

KW - Representations

KW - W-correspondence

UR - http://www.scopus.com/inward/record.url?scp=84957540222&partnerID=8YFLogxK

U2 - 10.1007/s00020-015-2277-7

DO - 10.1007/s00020-015-2277-7

M3 - Article

AN - SCOPUS:84957540222

SN - 0378-620X

VL - 84

SP - 555

EP - 575

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 4

ER -

Generalized Inner-Outer Factorizations in Non Commutative Hardy Algebras

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this