Bryan E. Cain

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All published works

Action	Title	Year	Authors
+	IMPROVED INEQUALITIES FOR THE NUMERICAL RADIUS: WHEN INVERSE COMMUTES WITH THE NORM	2018	Bryan E. Cain
+ PDF Chat	Classes of stable complex matrices defined via the theorems of Geršgorin and Lyapunov	2008	Bryan E. Cain Terry D. Lenker Sivaram K. Narayan Peter Vermeire
+	Group homomorphisms hi such that h1(x1)+⋯+hn(xn)=y is solvable	2002	Bryan E. Cain
+	Convergent multiples of convergent operators	1999	Bryan E. Cain
+	Operators which remain convergent when multiplied by certain Hermitian operators	1999	Bryan E. Cain
+	Multiplicative perturbations of stable and convergent operators	1998	Bryan E. Cain Luz M. DeAlba Leslie Hogben Charles R. Johnson
+ PDF Chat	Theorems of the Alternative for Cones and Lyapunov Regularity of Matrices	1997	Bryan E. Cain Daniel Hershkowitz Hans Schneider
+	The Re-nonnegative definite solutions to the matrix inverse problem AX = B	1996	Lei Wu Bryan E. Cain
+	Inequalities for monotonic arrangements of eigenvalues	1995	Bryan E. Cain Roger A. Horn Luoluo Li
+	The kernel of the composition of two operators	1992	Bryan E. Cain
+	The inertia of hermitian matrices with a prescribed 2×2 block decomposition	1992	Bryan E. Cain Eduardo Marques de Sá
+	Solutions to x−axb=w	1992	Bryan E. Cain S. A. Nelson
+ PDF Chat	Some Spectral Properties of Polar Decompositions	1984	Bryan E. Cain
+	Inside the D-stable matrices	1984	Bryan E. Cain
+	The inertia of a Hermitian matrix having prescribed complementary principal submatrices	1981	Bryan E. Cain Eduardo Marques de Sá
+	The inertia of a Hermitian matrix having prescribed diagonal blocks	1981	Bryan E. Cain
+	Inertia theory	1980	Bryan E. Cain
+	The inertia of diagonal multiples of 3×3 real matrices	1977	Christina A. Bahl Bryan E. Cain
+	On the Geometry of Dual Pairs	1977	Bryan E. Cain B. David Saunders Hans Schneider
+	Real, 3 x 3, D-stable matrices	1976	Bryan E. Cain
+ PDF Chat	Every Direction a Julia Direction	1974	Bryan E. Cain
+	The Inertial Aspects of Stein's Condition H - C ∗ HC ≫0	1974	Bryan E. Cain
+ PDF Chat	Biholomorphic approximation of planar domains	1974	Bryan E. Cain Richard J. Tondra
+ PDF Chat	The inertial aspects of Stein’s condition 𝐻-𝐶*𝐻𝐶≫𝑂	1974	Bryan E. Cain
+ PDF Chat	Every direction a Julia direction	1974	Bryan E. Cain
+	Convergent and nilpotent factorizations of Hermitian matrices	1973	Bryan E. Cain
+	A Two-Color Theorem for Analytic Maps in R n	1973	Bryan E. Cain
+	Hermitian congruence for matrices with semidefinite real part and for H-stable matrices	1973	Bryan E. Cain
+ PDF Chat	A two-color theorem for analytic maps in 𝑅ⁿ	1973	Bryan E. Cain
+	An inertia theory for operators on a Hilbert space	1973	Bryan E. Cain
+ PDF Chat	The numerical range of a continuous mapping of a normed space	1969	F. F. Bonsall Bryan E. Cain Hans Schneider

Common Coauthors

Coauthor	Papers Together
Hans Schneider	3
Eduardo Marques de Sá	2
Leslie Hogben	1
Peter Vermeire	1
F. F. Bonsall	1
Christina A. Bahl	1
B. David Saunders	1
S. A. Nelson	1
Luoluo Li	1
Roger A. Horn	1
Daniel Hershkowitz	1
Terry D. Lenker	1
Sivaram K. Narayan	1
Luz M. DeAlba	1
Charles R. Johnson	1
Richard J. Tondra	1
Lei Wu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Some theorems on the inertia of general matrices	1962	Alexander Ostrowski Hans Schneider	8
+	An inertia theory for operators on a Hilbert space	1973	Bryan E. Cain	6
+	General Theory of Banach Algebras.	1961	E. H. Batho C. E. Rickart	4
+ PDF Chat	Linear operator equations	1959	G. Lumer Marvin Rosenblum	3
+	Three types of matrix stability	1978	Gerald William Cross	3
+	A HILBERT SPACE PROBLEM BOOK	1968	Frank Smithies	3
+	Second, third, and fourth order D-stability	1974	Charles R. Johnson	3
+	Some general theorems on iterants	1952	P. R. Stein	3
+	The Inertial Aspects of Stein's Condition H - C ∗ HC ≫0	1974	Bryan E. Cain	3
+	On the inertia of some classes of partitioned matrices	1968	Emilie V. Haynsworth Alexander Ostrowski	2
+	A NOTE ON DYNAMIC STABILITY	1957	Kenneth J. Arrow M. McManus	2
+	A Note on Dynamic Stability	1958	Kenneth J. Arrow M. McManus	2
+ PDF Chat	The inertial aspects of Stein’s condition 𝐻-𝐶*𝐻𝐶≫𝑂	1974	Bryan E. Cain	2
+	Spectra of products and numerical ranges	1967	J. P. Williams	2
+	Real, 3 x 3, D-stable matrices	1976	Bryan E. Cain	2
+	Linear Topological Spaces	1963	John L. Kelley Isaac Namioka William F. Donoghue Kenneth R. Lucas B. J. Pettis Ebbe Thue Poulsen G. Baley Price Wendy Robertson W. R. Scott Kennan T. Smith	2
+	The inertia of a Hermitian matrix having prescribed complementary principal submatrices	1981	Bryan E. Cain Eduardo Marques de Sá	2
+ PDF Chat	A Hilbert Space Problem Book	1982	Paul R. Halmos	2
+	Recent directions in matrix stability	1992	Daniel Hershkowitz	2
+	On the Ostrowski-Schneider inertia theorem	1973	Hȧrald K. Wimmer	2
+ PDF Chat	A local estimate for typically real functions	1974	George B. Leeman	1
+	ALPS: Classes of stable and semipositive matrices	1978	Abraham Berman Robert C. Ward	1
+ PDF Chat	Sur quelques propriétés nouvelles des fonctions entières ou méromorphes (premier mémoire)	1919	Gastón Julia	1
+ PDF Chat	Spectral properties of locally holomorphic vector-valued functions	1974	Harm Bart	1
+	A Note on Pencils of Hermitian or Symmetric Matrices	1971	Abraham Berman Adi Ben-Israel	1
+ PDF Chat	Eigenvalues of seminormal operators, examples	1974	Richard Carey Joel D. Pincus	1
+	Minimal subadditive inclusion domains for the eigenvalues of matrices	1977	Christoph Zenger	1
+	On the ranges of two functions of positive definite matrices	1965	P. R. Stein	1
+ PDF Chat	Continuous convergence in<i>C</i>(<i>X</i>)	1974	D. C. Kent Kelly McKennon G. D. Richardson Matthias Schröder	1
+ PDF Chat	Orthogonal groups of dyadic unimodular quadratic forms. II	1974	Donald G. James	1
+	Multiplicative perturbations of stable and convergent operators	1998	Bryan E. Cain Luz M. DeAlba Leslie Hogben Charles R. Johnson	1
+ PDF Chat	Inequalities: Theory of Majorization and its Applications.	1981	Barry C. Arnold Albert W. Marshall Ingram Olkin	1
+ PDF Chat	Reconstructing infinite graphs	1974	J. A. Bondy Robert L. Hemminger	1
+ PDF Chat	Proximité et dualité dans un espace hilbertien	1965	Jean Jacques Moreau	1
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	1
+ PDF Chat	Some convergence theorems in Banach algebras	1974	J. J. Koliha	1
+ PDF Chat	Projections in the spaces of bounded linear operations	1974	Tsang Hai Kuo	1
+	Linear Transformations in Hilbert Space and Their Applications to Analysis	1932	Margaret E. Stone	1
+ PDF Chat	Beyond the minimax principle	1981	Chandler Davis	1
+	Majorization, doubly stochastic matrices, and comparison of eigenvalues	1989	T. Andô	1
+ PDF Chat	Reproducing kernels and operators with a cyclic vector. I	1974	Vashishtha Singh	1
+ PDF Chat	Biholomorphic approximation of planar domains	1974	Bryan E. Cain Richard J. Tondra	1
+ PDF Chat	Perturbations of type<i>I</i>von Neumann algebras	1974	John Phillips	1
+	More on linear inequalities with applications to matrix theory	1971	Abraham Berman Adi Ben-Israel	1
+ PDF Chat	An analogue of the Paley-Wiener theorem for certain function spaces on SL(2<i>,</i>C)	1974	Andrew Wang	1
+	Remarks on linear equations in banach space	1969	Young Koan Kwon R. M. Redheffer	1
+ PDF Chat	Introduction to the Theory of Analytic Spaces	1966	Raghavan Narasimhan	1
+ PDF Chat	On D-stability and structured singular values	1995	Jie Chen Michael K.H. Fan Cheng‐Ching Yu	1
+ PDF Chat	Approximate proper vectors	1962	S. K. Berberian	1
+	Topics in the Theory of Functions of One Complex Variable	1968	Wolfgang Fuchs	1