### A Free Convenient Vector Space for Holomorphic Spaces.

### A lifting theorem for locally convex subspaces of ${L}_{0}$

We prove that for every closed locally convex subspace E of ${L}_{0}$ and for any continuous linear operator T from ${L}_{0}$ to ${L}_{0}/E$ there is a continuous linear operator S from ${L}_{0}$ to ${L}_{0}$ such that T = QS where Q is the quotient map from ${L}_{0}$ to ${L}_{0}/E$.

### A note on the lifting of linear and locally convex topologies on a quotient space.

### A remark on finite-dimensional ${P}_{\lambda}$-spaces

### An additivity formula for the strict global dimension of C(Ω)

Let A be a unital strict Banach algebra, and let K + be the one-point compactification of a discrete topological space K. Denote by the weak tensor product of the algebra A and C(K +), the algebra of continuous functions on K +. We prove that if K has sufficiently large cardinality (depending on A), then the strict global dimension is equal to .

### Banach space techniques underpinning a theory for nearly additive mappings [Book]

### Banach spaces

### Bemerkungen über die Approximationseigenschaft lokalkonvexer Funktionenräume.

### Bounded linear maps between (LF)-spaces.

Characterizations of pairs (E,F) of complete (LF)?spaces such that every continuous linear map from E to F maps a 0?neighbourhood of E into a bounded subset of F are given. The case of sequence (LF)?spaces is also considered. These results are similar to the ones due to D. Vogt in the case E and F are Fréchet spaces. The research continues work of J. Bonet, A. Galbis, S. Önal, T. Terzioglu and D. Vogt.

### Characterization of dual extensions in the category of Banach spaces.

### Characterization of subspaces and quotients of nuclear ${L}_{f}(\alpha ,\infty )$-spaces

### Continuous extension of sequentially continuous linear functionals in inductive limits of normed spaces

### Continuous homomorphisms of Arens-Michael algebras.

### Direct summands of systems of continuous linear transformations [Book]

### Espaces d'opérateurs : une nouvelle dualité

### Extending and lifting some linear topological structures.

### Extensions of certain real rank zero ${C}^{*}$-algebras

G. Elliott extended the classification theory of $AF$-algebras to certain real rank zero inductive limits of subhomogeneous ${C}^{*}$-algebras with one dimensional spectrum. We show that this class of ${C}^{*}$-algebras is not closed under extensions. The relevant obstruction is related to the torsion subgroup of the ${K}_{1}$-group. Perturbation and lifting results are provided for certain subhomogeneous ${C}^{*}$-algebras.

### Factorization by Lattice Homomorphisms.

### Fréchet spaces of continuous vector-valued functions: Complementability in dual Fréchet spaces and injectivity

Fréchet spaces of strongly, weakly and weak*-continuous Fréchet space valued functions are considered. Complete solutions are given to the problems of their injectivity or embeddability as complemented subspaces in dual Fréchet spaces.