Positivity, Rational Schur Functions, Blaschke Factors, and Other Related Results in the Grassmann Algebra

Daniel Alpay, Ismael L. Paiva, Daniele C. Struppa

Type: Article

Publication Date: 2019-02-12

Citations: 3

DOI: https://doi.org/10.1007/s00020-019-2506-6

View Publication

Download PDF

Locations

arXiv (Cornell University) - View - PDF
Chapman University Digital Commons (Chapman University) - View - PDF
DataCite API - View
Integral Equations and Operator Theory - View

Similar Works

Action	Title	Year	Authors
+	Completions of positive semidefinite operator matrices	2011	Mihály Bakonyi Hugo J. Woerdeman
+	Matrix Spaces and Schur Multipliers	2013	Lars‐Erik Persson Nicolae Popa
+	Induced Norms of the Schur Multiplication Operator	1990	Kazuyoshi Ōkubo
+	Induced norms of the Schur multiplication operator	1990	和義大久保
+ PDF Chat	An Identity for the Schur Complement of a Matrix	1969	Douglas E. Crabtree Emilie V. Haynsworth
+	On a Schur-Type Product for Matrices with Operator Entries	2020	Ismael García-Bayona
+	Riordan-Krylov matrices over an algebra	2021	Gi‐Sang Cheon Bryan Curtis Bryan L. Shader
+	Matrices of Schur functions	1969	Marvin Marcus Susan M. Katz
+ PDF Chat	The Schur algebra	2017	Corrado De Concini Claudio Procesi
+	Induced Norms of the Schur Multiplication Operator : シュワー積作用素の誘導ノルム	1990	Kazuyoshi Ōkubo
+	Matrix Algebra	2012	David A. Freedman
+	Matrix algebra	2012	Akihito Asano
+	Matrix algebra	2006	S. G. Hoggar
+	Hermitian matrices and Schur complements	2004	Tobias Damm
+	Advances in Invariant Subspaces and Other Results of Operator Theory	1986	R. G. Douglas Carl Pearcy B. Nagy Florian-Horia Vasilescu Dan Voiculescu Gr. Arsene
+	Kronecker and Schur Algebra	2018
+	Positive definite Hankel matrix completions and Hamburger moment completions	2015	Hayoung Choi Farhad Jafari
+	Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces	1997	Daniel Alpay Aad Dijksma James Rovnyak Hendrik de Snoo
+	Invertible completions of operator matrices	1995	Katsutoshi Takahashi
+	Completion of partial operator matrices	1992	Mihály Bakonyi

Works That Cite This (3)

Action	Title	Year	Authors
+ PDF Chat	A general setting for functions of Fueter variables: differentiability, rational functions, Fock module and related topics	2020	Daniel Alpay Ismael L. Paiva Daniele C. Struppa
+ PDF Chat	Generalized Grassmann algebras and applications to stochastic processes	2021	Daniel Alpay Paula Cerejeiras Uwe Käehler
+ PDF Chat	Supergroup structure of Jackiw-Teitelboim supergravity	2022	Yale Fan Thomas G. Mertens

Works Cited by This (28)

Action	Title	Year	Authors
+	Field Theory - A Path Integral Approach	2006	Ashok Das
+	Interpolation of Rational Matrix Functions	1990	Joseph A. Ball Israel Gohberg Leiba Rodman
+ PDF Chat	Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis	2014	Daniel Alpay M. Elena Luna‐Elizarrarás Michael Shapiro Daniele C. Struppa
+	On Applications of Reproducing Kernel Spaces to the Schur Algorithm and Rational J Unitary Factorization	1986	Daniel Alpay Harry Dym
+	Linear Systems and Operators in Hilbert Space	1982	Paul A. Fuhrmann
+	Sub-Hardy Hilbert Spaces in the Unit Disk	1994	Donald Sarason
+	Banach Algebra Techniques in Operator Theory	1998	Ronald G. Douglas
+ PDF Chat	Slice monogenic functions	2009	Fabrizio Colombo Irene Sabadini Daniele C. Struppa
+	Discrete time systems, operator models, and scattering theory	1974	J. William Helton
+	A global theory of supermanifolds	1980	Alice Rogers