Vaclav Zizler
Czech/Canadian mathematician
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Mathematics
Vaclav Zizler's Degrees
- PhD Mathematics Charles University
Why Is Vaclav Zizler Influential?
(Suggest an Edit or Addition)According to Wikipedia, Vaclav Zizler, Ph.D., Dr.Sc. , is a Czech mathematics professor specializing in Banach space theory and non-linear spaces. As of 2006, Dr. Zizler holds the position of Professor Emeritus at the University of Alberta in Edmonton, Alberta, Canada. Formerly he was at the Mathematical Institute of the Czech Academy of Sciences where he was Head of Research. In 2001 the Czech Minister of Education named his Functional Analysis and Infinite Dimensional Geometry the university textbook of the year. In 2008 he was, for his excellent lifelong work in mathematical analysis and selfless activities in favour of the Czech mathematics, awarded a laureate medal by the Czech Mathematical Society.
Vaclav Zizler's Published Works
Published Works
- Smoothness and renormings in Banach spaces (1993) (1008)
- Functional Analysis and Infinite-Dimensional Geometry (2001) (677)
- Banach Space Theory (2011) (429)
- Banach Space Theory: The Basis for Linear and Nonlinear Analysis (2010) (425)
- Uniform Convexity of (414)
- A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions (1993) (128)
- Biorthogonal Systems in Banach Spaces (2007) (107)
- On some rotundity and smoothness properties of Banach spaces (1971) (91)
- A quantitative version of Krein's Theorem (2005) (61)
- Norms with locally Lipschitzian derivatives (1983) (54)
- Smoothness in weakly compactly generated Banach spaces (1983) (53)
- On Some Extremal Problems in Banach Spaces. (1973) (48)
- The structure of uniformly Gâteaux smooth Banach spaces (2001) (47)
- Farthest points in W*-compact sets (1988) (42)
- The non-linear geometry of Banach spaces after Nigel Kalton (2012) (40)
- Smoothness and its equivalents in weakly compactly generated Banach spaces (1974) (40)
- Open Problems in the Geometry and Analysis of Banach Spaces (2016) (37)
- Hilbert-generated spaces (2003) (37)
- Inner characterizations of weakly compactly generated Banach spaces and their relatives (2004) (36)
- Strong subdifferentiability of norms and geometry of Banach spaces (1995) (27)
- Second-Order Gâteaux Differentiable Bump Functions and Approximations in Banach Spaces (1993) (24)
- A note on Asplund generated Banach spaces (1999) (24)
- Chapter 41 - Nonseparable Banach Spaces* (2003) (24)
- A Characterization of Subspaces of Weakly Compactly Generated Banach Spaces (2004) (23)
- SEPARATING POLYNOMIALS ON BANACH SPACES (1989) (21)
- Banach space properties of Ciesielski-Pol’s $C(K)$ space (1988) (21)
- An Introduction to Modern Analysis (2015) (21)
- On residuality of the set of rotund norms on a Banach space (1982) (20)
- A renorming of dual spaces (1972) (19)
- Markuševič Bases and Corson Compacta in Duality (1994) (19)
- Weakly compact sets and smooth norms in Banach spaces (2002) (19)
- Renorming concerning Mazur's intersection property of balls for weakly compact convex sets (1986) (19)
- Locally uniformly rotund renorming and decompositions of Banach spaces (1984) (19)
- On Weak Compactness in $L_1$ Spaces (2009) (18)
- Uniform Eberlein Compacta and Uniformly Gâteaux Smooth Norms (1997) (17)
- Some notes on various rotundity and smoothness properties of separable Banach spaces (1969) (17)
- Uniformly smooth partitions of unity on superreflexive Banach spaces (1981) (16)
- Mazur's intersection property of balls for compact convex sets (1987) (16)
- Projections in dual weakly compactly generated Banach spaces (1973) (15)
- Smooth extension of norms and complementability of subspaces (1989) (15)
- On Preserved and Unpreserved Extreme Points (2014) (15)
- Smoothness in Banach spaces. Selected problems (2006) (15)
- Smooth bump functions and geomentry of Banach spaces (1993) (14)
- Locally Uniformly Rotund Renorming and Injections Into c0(Γ) (1984) (14)
- Pointwise semicontinuous smooth norms (2002) (14)
- THREE-SPACE PROBLEM FOR LOCALLY UNIFORMLY ROTUND RENORMINGS OF BANACH SPACES (1985) (13)
- A note on bump functions that locally depend on finitely many coordinates (1997) (13)
- Optimization of convex functions on w*-compact sets (1990) (13)
- An elementary approach to some questions in higher order smoothness in Banach spaces (1999) (13)
- Strictly convex renormings (2007) (12)
- On rough norms on Banach spaces (1978) (12)
- Geometry and Gâteaux smoothness in separable Banach spaces (2012) (12)
- Functions locally dependent on finitely many coordinates (2006) (11)
- Some open problems in Banach Space Theory (2014) (11)
- A note on lattice renormings (1997) (11)
- Convex composite representation of lower semicontinuous functions and renormings (1993) (10)
- Roughness properties of norms on non-Asplund spaces. (1991) (9)
- On uniformly Gâteaux smooth C(n)-smooth norms on separable Banach spaces (1999) (9)
- A short proof of a version of Asplund’s norm averaging theorem (1979) (8)
- A New Space With no Locally Uniformly Rotund Renorming (1989) (7)
- Some notes on Markuševič bases in weakly compactly generated Banach spaces (1977) (7)
- Uniform Mazur's Intersection Property of Balls (1987) (6)
- A nonlinear proof of Pitt's compactness theorem (2003) (6)
- Banach spaces with the differentiable norms (1968) (5)
- On a tensor product characterization of nuclearity (1979) (5)
- On extension of rotund norms. II (1979) (5)
- Gul’ko, descriptive, and Gruenhage compact spaces (2010) (5)
- The day norm and Gruenhage compacta (2004) (4)
- Renormings in Banach Spaces (2022) (4)
- Extremal structure of convex sets in spaces not containingc0 (1988) (4)
- Some remarks on non-separable Banach spaces with Markuševič basis (1974) (4)
- Duals of Banach spaces which admit nontrivial smooth functions (1974) (4)
- Norms that Locally Depend on Countably Many Linear Functionals (2001) (4)
- Markuševič bases in some dual spaces (1975) (4)
- A note on Mackey topologies on Banach spaces (2017) (4)
- Weak compact generating in duality (1976) (3)
- Finite-Dimensional Spaces (2011) (3)
- Remarks on symmetric smooth norms (1995) (3)
- A note on cotype of smooth spaces (1988) (3)
- Biorthogonal Systems in Weakly Lindelöf Spaces (2005) (3)
- Remarks on the set of norm-attaining functionals and differentiability (2018) (3)
- Note on separation of convex sets (1971) (3)
- A note on extreme points of $C^\infty$-smooth balls in polyhedral spaces (2015) (2)
- On a classical renorming construction of V. Klee (2012) (2)
- Shorter Notes: A Short Proof of a Version of Asplund's Norm Averaging Theorem (1979) (2)
- One theorem on rotundity and smoothness of separable Banach spaces (1968) (2)
- Basics on Descriptive Statistics (2015) (2)
- Sigma-locally uniformly rotund and sigma-weak ∗ Kadets dual norms (2009) (2)
- A note on strong differentiability spaces (1976) (2)
- On the heredity of weak compact generating (1975) (2)
- Basic Concepts in Banach Spaces (2011) (1)
- Remarks on the differentiability of mappings in linear normed spaces (1967) (1)
- Gâteaux smooth partitions of unity on weakly compactly generated Banach spaces (1977) (1)
- Some remarks on farthest points (2011) (1)
- Phelps spaces and finite dimensional decompositions (1988) (1)
- Nonseparable Banach Spaces**Supported in part by GACR 201 98 1449, GACR 201 01 1198, AV 1019003 (Czech Republic) and NSERC 7926-02 (Canada). (2003) (1)
- Uniform extension of linear functionals (1972) (1)
- FLAT SETS, ℓp-GENERATING AND FIXING c0 IN THE NONSEPARABLE SETTING (2009) (1)
- Weakly Compact Generating and Shrinking Markusevic Bases (2006) (1)
- A NOTE ON EXTREME POINTS OF C ∞ -SMOOTH BALLS IN POLYHEDRAL SPACES (2015) (1)
- Weakly Compactly Generated Spaces (2011) (1)
- Basic Linear Geometry (2016) (0)
- Basics in Nonlinear Geometric Analysis (2011) (0)
- Uniform asymptotic smoothness of norms (1986) (0)
- Sequences and Series (2015) (0)
- Excursion to Functional Analysis (2015) (0)
- C 1-Smoothness in Separable Spaces (2011) (0)
- Structure of Banach Spaces (2011) (0)
- A note on duality mapping in Banach spaces (1975) (0)
- Solving singular convolution equations using the inverse Fast Fourier Transform (2012) (0)
- Some More Nonseparable Problems (2016) (0)
- Compact Operators on Banach Spaces (2011) (0)
- Commentationes Mathematicae Universitatis Carolinae (2012) (0)
- Dentability and Differentiability (2011) (0)
- Topics in Weak Topologies on Banach Spaces (2011) (0)
- Differentiability and Structure, Renormings (2016) (0)
- Basic Linear Structure (2016) (0)
- Weak Topologies and Banach Spaces (2011) (0)
- Real Numbers: The Basics (2015) (0)
- Hahn–Banach and Banach Open Mapping Theorems (2011) (0)
- Differentiability of Norms (2001) (0)
- Smoothness and Structure (2001) (0)
- Topics in Weak Topology (2001) (0)
- Higher Order Smoothness (2011) (0)
- A note on renorming of Banach spaces decomposable into certain operator ranges (1976) (0)
- Locally Convex Spaces (2001) (0)
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