# Search results for: Marian Fabian

Vietnam Journal of Mathematics > 2019 > 47 > 3 > 527-545

Journal of Mathematical Analysis and Applications > 2017 > 448 > 2 > 1618-1632

CMS Books in Mathematics > Banach Space Theory > 617-656

^{*}topologies of Banach spaces in more detail. We discuss several types of compacta (Eberlein, uniform Eberlein, scattered, Corson, and more), weakly Lindelöf determined spaces and properties of tightness countable tightness!weak topology in weak topologies. We discuss some applications in the structural properties of some Banach spaces.

Journal of Molecular Biology > 2016 > 428 > 6 > 1107-1129

Journal of Functional Analysis > 2016 > 270 > 4 > 1361-1378

CMS Books in Mathematics > Banach Space Theory > 291-330

CMS Books in Mathematics > Banach Space Theory > 237-289

*c*

_{0}or

*ℓ*

_{1}. We prove Sobczyk’s theorem on complementability of

*c*

_{0}in separable overspaces, lifting property of

*ℓ*

_{1}and Pełczyński’s characterization of separable Banach spaces containing

*ℓ*

_{1}. We present Rosenthal’s

*ℓ*

_{1}theorem, Odell–Rosenthal...

CMS Books in Mathematics > Banach Space Theory > 53-81

CMS Books in Mathematics > Banach Space Theory > 83-177

*X*is its

*weak topology*, i.e., the topology on

*X*of the pointwise convergence on elements of the dual space

*X*

^{*}, or the

*weak*

^{*}

*topology*on

*X*

^{*}, i.e., the topology on

*X*

^{*}of the pointwise convergence on elements of

*X*. The topology on

*X*

^{*}of the uniform convergence...

CMS Books in Mathematics > Banach Space Theory > 687-732

CMS Books in Mathematics > Banach Space Theory > 331-382

CMS Books in Mathematics > Banach Space Theory > 179-235

CMS Books in Mathematics > Banach Space Theory > 575-616

CMS Books in Mathematics > Banach Space Theory > 733-749

CMS Books in Mathematics > Banach Space Theory > 429-463

CMS Books in Mathematics > Banach Space Theory > 479-519

CMS Books in Mathematics > Banach Space Theory > 465-477

*ℓ*

_{ p }spaces and in Hilbert spaces. Then we study spaces that have countable James boundary in connection with their higher order smoothness, and its applications. In particular, we study spaces of continuous functions on countable compact spaces.

CMS Books in Mathematics > Banach Space Theory > 521-574

CMS Books in Mathematics > Banach Space Theory > 657-685